length n = 220
dimension k = 5
alphabet length q = 4

minimum distance d = 162

generator matrix:
0000100000000000011111111000011111100000000111111111111000011111100000000111111111111000011111100001111111111111111000011111111111111110000111111111111111111111111111111111111111111111111111111111111111111111111111111111
0001000000011111100000023011100011100111111000000112233011100012300111111000000222333011100012311110000111111222333111100001111112223331111000011222223333311123111111222222233333331111222333111122222222333333331122223333
0010000111100002300002300101101100111001233001233000201101201230011002233002233003002101301320011231123001122011033112311230011330220111333133322002330012211213112233112233311222331233122113223311223333112222332312331223
0100011002300230000230000110110101013123001230201030010230213002023230302230302030020320312000312131213120201101303132113211303012021013223212203330001322312113231312132312312123233213212131232323331123231123223231232231
1000023230023000023000000111011010031320210213010302000213030200132323020323020300200312020301021132113212010110330312131213130102201102122322330123132200021113323121313212321123323231221311323233132312222331123223313122

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

01000
00100
00001
00010
10000