[ColorfulPockets]

2. 29

Exact same solution as Sébastien, haha. Found skeleton in 2 minutes.

Solution: R L2 U' F' D' F2 R B2 L' B2 D L2 D L D L' F L B2 L' F' L D' B2 D2 L' D' L D2

EO: R L2 U' F'
2x2x2: D' F2 R
2x2x3: B2 L' B2 D L'
L3C: L' D L D B2 * D' B2 D2 L' D' L D2

* = B2 L' F L B2 L' F' L

I also found this: R L2 U' F' D' F2 R D L' B2 D' B F L2 F' B', which is 16 moves to 5 corners. Insertions were really bad though, and I was a little low on time, so I didn't check nested. Optimal is a 27 with this skeleton.