length n = 84
dimension k = 3
alphabet length q = 3

minimum distance d = 57

generator matrix:
000000000000000000000000001111111111111111111111111111111111111111111111111111111111
000000011111111111111111110000000000000000000011111111111111111122222222222222222222
111111100000011111112222220000000111111122222200000011111122222200000011111112222222

projective group of automorphisms generated by:
200
020
002