length n = 177
dimension k = 5
alphabet length q = 4

minimum distance d = 130

generator matrix:
000010000111111000000001111111111110000111111000011111101111000011111111111111110000111111111111111100001111111111111111000011111111111111111111111111111111111111111111111111111
000100111000111001111110000001122330111000123011100012310111111100001111112223331111000011112222333311110000112222233333111100001122222333331111123111111222222233333331111222333
001001011011001110012230012230001031012012300101301320011011112311230011330220111123112322330012001313331333220023300122223322330001233012231111213112233112233311222331233122113
010001101101010122300131320100200302130302001312020301011101132113211303012021012311232302031201130121223223031231322000232313122333002220301112113231312132312312123233213212131
100001110110100211321002301032010002302130020320312000311110312131213130102201102323231120302120313032232122303300013223311232233230310201021121113323121313212321123323231221311

projective group of automorphisms generated by:
00010
00100
10000
00001
01000

00100
10000
00001
00010
01000