In order to completely surround the black checkers, the red checkers have to go in the slots in between with one sticking out each end of the top and bottom, then two reds on either end of the blacks.
6 reds have 5 spaces "between." That's 10 blacks for the top and bottom. 2 on both ends of the top and bottom makes 14 and 1 on each end of the reds makes 16.