OK, this customizable thing is near completion.
Defaults for each piece are 30mm diameter and 2mm tall, though these are adjustable parameters.
Defaults parameters for the grid are now 4 rows and 5 columns, for a total of 18 pieces ( rows x columns minus one for every even counted row). I also tightened the inter-piece space to 0.02*diameter from 0.05, which should also these 18 pieces to be printed on my Flash Forge with 4"x6" print bed.
It will create a grid of separated flat game pieces. The grid is hexagonal, self-centering, and symmetrical in both X and Y, which should allow for the maximum number of pieces to be printed, though this means the number of columns will be different for odd and even rows (unlike a square grid).
Just flat surfaces now, no textures at this time.