length n = 81
dimension k = 3
alphabet length q = 3

minimum distance d = 55

generator matrix:
000000000000000000000000111111111111111111111111111111111111111111111111111111111
000000111111111111111111000000000000000000011111111111111111112222222222222222222
111111000000111111222222000000011111122222200000011111112222220000000111111222222

projective group of automorphisms generated by:
200
020
002