length n = 165
dimension k = 4
alphabet length q = 3

minimum distance d = 110

generator matrix:
000000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
000111000111000111000111000111001111111111111111111111000000222000222000222000222000111000111000111000111000000000011122211122211122211122211111111111112222222222222
011012011012011012011012011012110120120120001212121212000012012012012012012012012012012012012012012012012121212121201201201201201201201201200012121212120001212121212
112000112000112000112000112000001111111112222222222222000111000111000111000111000222000222000222000222000000000000011122211122211122211122222222222222221111111111111

projective group of automorphisms generated by:
2000
0001
0212
0100