length n = 108
dimension k = 3
alphabet length q = 3

minimum distance d = 74

generator matrix:
000000000000000000000000000000000111111111111111111111111111111111111111111111111111111111111111111111111111
000000001111111111111111111111111000000000000000000000000111111111111111111111111112222222222222222222222222
111111110000000011111111122222222000000001111111122222222000000001111111112222222220000000011111111122222222

projective group of automorphisms generated by:
100
010
001