Y Perm
No side has headlights. Two diagonal corners swap along with two neighboring edges.
F R U' R' U' R U R' F' R U R' U' R' F R F'17 moves · Probability 1/18 · Corners UFR↔UBL · Edges UL↔UB · 2-look PLL step 1 (corners)

Setup: apply these moves to a solved cube to reach this case
F R' F' R U R U' R' F R U' R' U R U R' F'