length n = 106
dimension k = 3
alphabet length q = 3

minimum distance d = 72

generator matrix:
0000000000000000000000000000000001111111111111111111111111111111111111111111111111111111111111111111111111
0000000011111111111111111111111110000000000000000000000001111111111111111111111112222222222222222222222222
1111111100000000011111111222222220000000011111111222222220000000011111111222222220000000011111111122222222

projective group of automorphisms generated by:
100
010
001