length n = 246
dimension k = 5
alphabet length q = 4

minimum distance d = 183

generator matrix:
000000111100000000000011111111000011111100000000111111111111000000001111111111110000000011111111111100001111110111100001111111111111111000011111111111111110000111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
000111000100000011111100000023011100011100111111000000112233001111110000001122330011111100000022233301110001231011111110000111111222333111100001122222333331111000011222223333311112311123111122233311111122222223333333111122222222333333331122223333
011001001000111100002300002300101101100111001223001223000103110012330012330002011100223300223300300210130132001101111231123001122011033133313332200233001222233223300012330122311121311213122311213311223311223331122233223311223333112222332312331223
101010010011002300230000230000110110101012230013132010020030132302011230010320002323030223030203002031202030101110112131213120201101303212232230312313220002323131223330022203011211312113212312131323131213231231212323232333131223221233123223133122
110100100023230023000023000000111011010021132100230103201000312130103202103000103232302032302030020032031200031111021132113212010110330322321223033000132233112322332303102010212111321113221321133132312131321232112332323223332131233112223231322231

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

00100
10000
00001
00010
01000