length n = 60
dimension k = 3
alphabet length q = 3

minimum distance d = 41

generator matrix:
000000000000000000111111111111111111111111111111111111111111
000011111111111111000000000000001111111111111122222222222222
111100001111122222000001111122220000011111222200000111112222

projective group of automorphisms generated by:
100
010
001

100
010
001