[Jacck]

1. in-limit=56
found a L5C in 25, but since this is the first post in this forum this year, decided to go for a solve with the sexy move - and here it is:
F R' U B U D F2 U // white cross + 1 corner
D R' D R2 D2 R' // 3 equator-edges
D' B D B' // 2nd corner
U2 B D B' D B D' B' U2 // 3rd corner
D R D' R' B' D B D' R D R' // EO and solve edges +1 corner
U B U' B' // 2nd corner
D B U B' // prepare last 2 corners (with U' D an L3C, but we keep going!)
D2 B U' B' D2 B U B' // last 2 corners and a twist-skip
U' D // yo!

solution: F R' U B U D F2 U D R' D R2 D2 R' D' B D B' U2 B D B' D B D' B' U2 D R D' R' B' D B D' R D R' U B U' B' D B U B' D2 B U' B' D2 B U B' U' D