length n = 53
dimension k = 3
alphabet length q = 3

minimum distance d = 36

generator matrix:
00000000000000001111111111111111111111111111111111111
00001111111111110000000000000111111111111222222222222
11110000111122220000011112222000011112222000011112222

projective group of automorphisms generated by:
100
010
001

100
010
001