length n = 100
dimension k = 3
alphabet length q = 3

minimum distance d = 69

generator matrix:
0000000000000000000000000000000111111111111111111111111111111111111111111111111111111111111111111111
0000000011111111111111111111111000000000000000000000001111111111111111111111122222222222222222222222
1111111100000000111111122222222000000011111111222222220000000011111112222222200000000111111112222222

projective group of automorphisms generated by:
100
010
001