length n = 50
dimension k = 3
alphabet length q = 3

minimum distance d = 34

generator matrix:
00000000000000111111111111111111111111111111111111
00001111111111000000000000111111111111222222222222
11110001111222000011112222000011112222000011112222

projective group of automorphisms generated by:
100
010
001

100
010
001