length n = 179
dimension k = 4
alphabet length q = 3

minimum distance d = 120

generator matrix:
00000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
00011100011100011100011100011100111111111111111111111000000022200022200022200022200022200011100011100011100011100011100000000111222111222111222111222111111111111111222222222222222
01101201101201101201101201101211012012000001212121212000001201201201201201201201201201201201201201201201201201201201212121212012012012012012012012012000001212121212000001212121212
11200011200011200011200011200000111111222222222222222000011100011100011100011100011100022200022200022200022200022200000000000111222111222111222111222222222222222222111111111111111

projective group of automorphisms generated by:
2000
0001
0212
0100