length n = 21
dimension k = 9
alphabet length q = 3

minimum distance d = 6

generator matrix:
000111111111111111111
001011111111111112222
001101111111111221122
001110111111112121212
001111011111111222211
001111101111112212112
001111110111112211221
111111111100110000000
001111111011112122121

projective group of automorphisms generated by:
000100000
000000100
000000001
010000000
000001000
001000000
100000000
000000010
000010000

001000000
000001000
010000000
000010000
000100000
000000001
100000000
000000010
000000100