length n = 180
dimension k = 4
alphabet length q = 3

minimum distance d = 120

generator matrix:
000000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
000111000111000111000111000111011111111111111111111111000000022200022200022200022200022200011100011100011100011100011100000000001112221112221112221112221111111111111122222222222222
011012011012011012011012011012101201200000121212121212000001201201201201201201201201201201201201201201201201201201201212121212120120120120120120120120120000121212121200001212121212
112000112000112000112000112000011111122222222222222222000011100011100011100011100011100022200022200022200022200022200000000000001112221112221112221112222222222222222211111111111111

projective group of automorphisms generated by:
2000
0001
0212
0100