length n = 67
dimension k = 3
alphabet length q = 3

minimum distance d = 45

generator matrix:
0000000000000000000000111111111111111111111111111111111111111111111
0000001111111111111111000000000000000111111111111111222222222222222
1111110000001111122222000001111122222000001111122222000001111122222

projective group of automorphisms generated by:
200
020
002