I'd expect it to be 23.
On the other hand, I would have thought 19 steps were enough because they already cover the full space of positions. To wit: There are 12 possible choices at each step, 19 steps cover 12^19 possibilities, which is 8 times more than the 43,000,000,000,000,000,000 positions.
Probably: https://s23.org/wiki/23