Rotate UF gear anticlockwise by 1/3 (16):
  R U R U R4' U' R3 U' R3 U F U R4 U' F5' U'

PLLs:
  A: F3 U2 R3 F3 U F3 D' R3 D F3 U' R3 U' R3' D'
  E: R3 U2 F3' U R3' U2 F3 R6 U' R3 U2 F3'
  F: R3 U R3 U' R3' U' F6 U F3 U' F3' D R3 F6 D'
  G: R3 U F3 R3 D F3 R6 D' R3 D' R6 D2 F3
  H: R6 U R6 U2 R6 U R6
  J: F6 R3 D' F3 U R3 D' R3' D F3 R3 U
  N: R3 U2 R3 F3 U R3' F3 U2 F3' U R3' U2 F3 U
  R: F3 R6 U F3 R3 U F3' D' F3 D R3 U'
  T: R3 U' R3 U R3 F6 D F6 D' F3' D F3 D' R3 D
  U: R3 U R6 U' R3' U R3 U R6 U' R3' U'
  V: R3 F3 U R3' U' F3' U F3 R6 U F3 R6 U' R3' U F3 U
  Y: R3 U R3' U' F3' U R3' F3 U' R3 U F3' U' R3 F6 U'
  Z: R6 U R3 U2 R6 U2 R3 U' R6


Speedsolving algorithms: Swap UL/UB and DR/DB, ignoring gear rotation: R U R' U2 R2 U2 R' U' R' Rotate UF gear anticlockwise by 1/3 ((R U R' U')2 R)4
Two phase algorithm: 1. Orient all of the gears 2. Solve the cube Phase 1 distribution: Depth New Total 0 1 1 1 4 5 2 8 13 3 78 91 4 102 193 5 1064 1257 6 920 2177 7 3576 5753 8 592 6345 9 216 6561 10 0 6561 Phase 2 distribution: Depth New Total 0 1 1 1 12 13 2 98 111 3 774 885 4 5909 6794 5 42535 49329 6 287933 337262 7 1814194 2151456 8 10497612 12649068 9 52654764 65303832 10 231184420 296488252 11 856533794 1153022046 12 2617727430 3770749476 13 5732703244 9503452720 14 7032541792 16535994512 15 2833285424 19369279936 16 139100392 19508380328 17 48472 19508428800 18 0 19508428800 So the puzzle can be solved in at most 26 moves. It is possible to reduce this bound to 25 (see this post for details).