F D2 R2 D' (U') //EO 5
(L' U2 D2 F2 L2 B L') //DR 7/12 4b2
U2 F U2 R2 U2 L2 U2 B' //HTR 8/20
F2 U2 F2 D2 //FINISH 4/24

checked lots of 5 movers and got nothing better than this 12+2

(L R B') //EO 3
(D F2 B2 L U' R') //DR 6/9
(L2 U) U2 B2 U' ^ B2 D' ^ //HTR 7/16
R2 U2 B2 L2 D2 F2 L2 //SLICE 7/23
^: w

7C8E is very fun

(R F' R2 L B') //EO 5
(U') R' U R U' //DR 5/10 2C4
(R ^ D2 R' B2 R ^) R2 U2 R' //HTR 8/18
L2 ^ B2 U2 R2 F2 D2 //SLICE 6/24
^: w //-1/23

had been struggled on this 2c4 for a while.

L B2 U' B D' //EO 5
U2 L' F' D2 R' U2 R' //DR 7/12+3
F' U2 F (R2 B) //HTR 5/17
(U2 R2 B2 U2 R2) //FINISH 5/22

D R' B2 D //EO 4
R' //5C6E 1/5
B' U2 L' F' U2 R //DR 6/11
(F) B2 R2 B' U2 B' L2 B' //HTR 8/19
U2 L2 F2 L2 //FINISH 4/23

D2 F2 L //EO 3
R2 F' R2 F2 B' D //DR 6/9+3
F (F' R2 B) //FAKE HTR
(U L2 U) U' F2 U' //HTR
F2 U2 L2 //FINISH

D2 F2 L //EO 3
F D //JZP 2/5
(B D F2 U' B) //DR 5/10+4

replace DR with
D2 F2 L //EO 3
F' (B D F2 U' B) //DR 6/9+3
R2 D' L2 R2 F2 D R2 D //FR 8/17
L2 F2 L2 F2 R2 //FINISH 5/22

B2 D2 L' B //EO 4
D' L U2 D R' U R //DR 7/11+3
U F2 L2 D (D2 B2 U) //HTR 7/18
(F2 L2 F2 B2 U2 B2) //FINISH

R2 B R2 U //EO 4
(R' B R' F' * L2 F') //DR 6/10
(L2 B2 F2* L' # F2 R F2 R' #' D2 F2) //FINISH 10/20
*: S2 //4-5
#: M //4-5

good scramble, lots of DR
this is the first time i inserted S then inserted M to cancel 2 moves

F2 B' L' D' //EO 4
B F' R F2 L' U2 L' //DR 7/11+2
(B' R2 B) //HTR 3/14
(L2 U2 B2 R2 D2 B2 D2) //FINISH

(L) R' U' D' L //eo 5
(U' F D' R2 F') //dr 5/10+3
D B2 F2 L2 D' B2 U' //htr 7/17
B2 U2 L2 R2 B2 R2 B2 //finish 7/24

B' (U L' F) //EO 4
D2 F2 U2 F2 L' D L //DR 7/11+2
U2 B2 U' F2 U' //HTR 5/16
L2 F2 U2 B2 D2 //FINISH 5/21

also got these:
B (U L' F') //EO 4
D2 F2 U2 L' D L //DR 10+2

B (L' U F) //EO
D R2 U' D R B2 R' //DR 11+4

R2 U' F2 U' F //EO 5
(D U2 B2 R D R) //DR 6/11+3

L2 D' B' //EO 3
U L' B2 L2 U2 L R2 U' //DR 8/11+3

(U2 L2 B' L') //EO, 7C8E 4
D2 R2 U B2 U' B D F' //DR 8/12+2
R2 B2 U F2 D2 R2 D //HTR 7/19
U2 R2 B2 U2 //FINISH 4/23

L (F D B R) //EO 5
(U' D F' D') //DR 4/9+3

extends this DR into 11+1 and 12+1

L' (F D B R) //EO 5
(U B2 U2 D F' D) //DR 7/11+1 no good ending

L' (F D B R) //EO 5
(U' B2 U2 B2 D F' D) //DR 7/12+1
F B U2 L2 F' //HTR 5/17
D2 L2 U2 B2 L2 //FINISH 5/22

L' F D' B' //EO 4
U2 R U2 B2 D R2 U R' //DR 8/12+3
U R2 B2 D R2 D' //HTR 6/18
R2 B2 L2 B2 D2 L2 B2 //FINISH 7/25

backup solution

(B U' D F) //EO 4
D L U R' U2 B2 L //DR 7/11+2
D F2 L2 F2 R2 U' //HTR 6/17
B2 L2 F2 D2 L2 R2 //FINISH 6/23

(D' L R U' R) //EO 5
B' U R2 D' R2 F //DR 6/11+3
(D L2 U L2 U) //HTR 5/16
(L2 B2 * L2 F2 U2 L2 F2 *) //L4X 7/23
*: S //4-4/23

(B) D' F B' //EO 4
L' (D' L2 R D' R) //DR 6/10 4b2
U' F2 D L2 U L2 D F2 B2 //FINISH

(B) D' F B' //EO 4
L' (D' L2 R D' R) //DR 6/10 4b2
(B2 D L2 D) //HTR 4/14
(L2 F' B' L2 R2 B2 R2 F B') //FINISH 9/23

(R U R' B L') //EO 5
U //DR-7C8E 1/6
B2 U B' D' //DR 4/10
R2 D2 B' F' L2 B D2 B' F2 //FINISH 9/19

found this DR in the last 10 minutes and was lucky the continuation was obvious. at first i was doing
(R U R' B L') //EO 5
(F) //JZP

(B' F D F2 R' U) //EO 6, made this EO by accidently applied a B', was checking EO-FB
F2 L2 B2 L F' L //DR 6/12+3
(B U2 F') D2 R2 F //HTR 6/18
R2 L2 D2 R2 L2 //FINISH 23

there's a 11+3 for this EO, but couldn't find a good finish
(B' F D F2 R' U) //EO 6
R2 F2 L' F' L //DR 6/11+3

D (F2 L U') //EO 4
R L2 F R' B R //DR 6/10+3
(D2 B D2 L2 D2 L2 F L2 U2 B) //HTR 10/20
(U2 L2) //FINISH 2/22

D (F2 L U) //EO 4
R L2 F R' B R' //DR 6/10+3
(F) D2 R2 L2 B' D2 L2 F //HTR 8/18
U2 L2 U2 F2 U2 //FINISH 5/23

was struggle lots of time on this DR

L' U2 R2 F //EO 4
D' L F2 B2 U2 L' R2 D // DR 8/12+2
B2 U2 L2 U2 R B2 L //HTR 7/19
U2 D2 B2 L2 F2 //FINISH 5/24

(R') L R' F' R' //EO 5
U' R2 D B2 U' R2 D F //DR 8/13+2
D' L2 U2 R2 B2 L2 D //HTR 7/20
R2 D2 F2 //FINISH 3/23

(R' B F' D) //EO
(F2 L U2 L) //122
(R' F' R') //another 122
(D2 R F' R2 B2 U2 L' B) //finish

(R' B F' D) //EO+blocks
(F2 U2 R' F2 R' B2 R') //more blocks
B' U2 F' B L F L' F' L F B' //finish

F' R //EO 2
(U' F') //DR-4E4C 2/4
U' //JZP 1/5
(L2 D R2 B2 U') //DR 5/10+2
(B') F B D2 F' //HTR 5/15
D2 R2 # D2 U2 //L3E 4/19
#: R L' F2 R' L D2 //6-3/22
Lots of variations to do the HTR in ≤6 moves
There's another 10+2 DR by inserting an M2:
F' R //EO 2
(U' F') //DR-4E4C 2/4
U' //JZP 1/5
(L2 M2 D R2 B2 U') //DR 5/10+2

(D U' R L' F) //EO 5
(R2 D' L2 F2 D R') //DR 6/11+3
(D B2 D) B2 L2 U' //HTR 6/17
B2 U2 R2 B2 //L3E 4/21
B2 L R' U2 L' R //FINISH 6-3/24

D U R F L' //EO 5
(B2 U R2 U' B') //DR 5/10+2
U2 B2 D L2 U * //HTR 5/15
F2 U2 B2 # R2 L2 //Leave double slice 5/20
*: U D' R2 U' D F2 //6-5/21
#: B2 R' L U2 R L' //6-4/23

R' (U' R') //EO 3
U B U L2 D' L2 F //DR 7/10+4
D' ^ F2 U (U [B2 D) //HTR 6/16
(U2] L2 F2 L2 F2) //L2E2E 5/21

[] = D2 ^ F2 D2 B2 D //+2/23
^: E' //4-5/22

(F2 R2 F L) //EO 4
D B U2 D' R2 D F' //DR 7/11+2
D' B2 L2 D' * //HTR 4/15
L2 B2 U2 *' B2 R2 //SLICE 5/20
*: E' //4-3/21

L D F2 R' //EO 4
(D B) D L2 D F //DR 6/10+4
(D B2 D' B2 D F2 L2 U') //HTR 8/18
(F2 R2 F2 L2) //FINISH 4/22

(L) F U' L' //EO 4
B R2 L2 U2 D B //DR 6/10+4
(B2 D B2 U' L2 U B2 D') //HTR 8/18
(U2 L2 U2 R2 L2) //FINISH 5/23

also got this
(L) F U' L //EO 4
B R2 L2 U2 D B //DR 6/10+2

U B //EO 2
U2 D' R U2 D' L U L //DR 8/10+3
D' L2 D' F2 B2 L2 U R2 F2 R2 //FINISH

(F L F') //222 3
(R' B') //EO 2/5
U' R' B L F2 L' B //DR 7/12+3
(U B2 R2 U2 * R2 U' R2 U) //L3E 8/20
*: U' M2 U R2 U' M2 U R2 //10-7/23