length n = 139
dimension k = 9
alphabet length q = 3

minimum distance d = 78

generator matrix:
0000000000000000000000001111111111110000000000000000000011111111111111110000000000000000111111111111111111110111111111111111111111111111111
0000000000000001111111110000000001220000000000111111111100000000001111110000001111111111000000000011112222221011122221111111122111111222222
0000001111111110000000000000000002120000001111000011111100001111110000001111110000002222000000222211120000121102211221111111212111222111222
0001110000001220000001220000001220000011110011001100001100110000110000110012220012220012001112002200200022011221212011111112112122112112122
0001220001220000001220000001220000001100110101110000010101010011000001011100120021221100120022001102021200002212012121111121112122121121212
1110000002120000000002121220000000000111011010110001100001010100010110001200112212000011212200110002020012002210221211111211112212121112221
0002121220000001220000002120000000001111001100010100101010100001101001000021221100122200210022120020000011202121220121112111112122211211221
1220000000002122120000000002120000001001111100101010010010101100000010102212001200110022122200001220001100202122102211121111112212112211212
2120002120000000002120000000002120001110100011001111000011001010001100002221002221001200001211220000202200011222121101211111112212211121122

projective group of automorphisms generated by:
000010000
000000001
010000000
100000000
000001000
000100000
000000100
001000000
000000010

001000000
100000000
010000000
000001000
000000010
000000100
000000001
000100000
000010000