length n = 137
dimension k = 4
alphabet length q = 3

minimum distance d = 91

generator matrix:
00000000000000000000000000000000000000000111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
00011100011100011100011111111111111111111000002220002220002220002220001110001110001110001110000001112221112221112221111111111122222222222
01101201101201101201101201201200012121212000120120120120120120120120120120120120120120120121212120120120120120120120001212121200012121212
11200011200011200011200011111122222222222001110001110001110001110002220002220002220002220000000001112221112221112222222222222211111111111

projective group of automorphisms generated by:
2000
0001
0212
0100