Cylinder 15 puzzle

This is like those classic sliding-tile 15 puzzles, but on a cylinder (periodic boundary conditions, if you will). Ok, more like a 23-puzzle.
You need to print out the spool bottom, top, and spacer. And you need to print out the puzzle pieces, which are named piece__.stl, where X and Y indicate where the piece goes on the "grid".

Assembly:
Place all the tiles around the bottom part of the spool; you may have to manually hold the pieces in place until it's all assembled. Then put the spacer on top of the spool bottom, and then screw the spool top into the bottom (with the spacer between the two). The tabs on the top of the puzzle pieces should go into the circular slot along the spool top.
If the puzzle is too tight or too loose top-to-bottom, then you can easily print a spacer of a different height.