length n = 177
dimension k = 4
alphabet length q = 3

minimum distance d = 118

generator matrix:
000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
000111000111000111000111000111111111111111111111111000000022200022200022200022200022200011100011100011100011100011100000000111222111222111222111222111111111111111222222222222222
011012011012011012011012011012012012000001212121212000001201201201201201201201201201201201201201201201201201201201212121212012012012012012012012012000001212121212000001212121212
112000112000112000112000112000111111222222222222222000011100011100011100011100011100022200022200022200022200022200000000000111222111222111222111222222222222222222111111111111111

projective group of automorphisms generated by:
2000
0001
0212
0100