length n = 107
dimension k = 4
alphabet length q = 3

minimum distance d = 72

generator matrix:
00000000000000000000000000000000000111111111111111111111111111111111111111111111111111111111111111111111111
00011100011100011100111111111111111000002220002220002220001110001110001110000111222111222111222111111222222
01101201101201101211012012012001212000120120120120120120120120120120120121212012012012012012012001212001212
11200011200011200000111111111222222001110001110001110002220002220002220000000111222111222111222222222111111

projective group of automorphisms generated by:
2000
0001
0212
0100