length n = 69
dimension k = 3
alphabet length q = 3

minimum distance d = 47

generator matrix:
000000000000000000001111111111111111111111111111111111111111111111111
000001111111111111110000000000000000111111111111111122222222222222222
111110000011111222220000001111122222000001111112222200000011111122222

projective group of automorphisms generated by:
200
020
002