length n = 124
dimension k = 9
alphabet length q = 3

minimum distance d = 68

generator matrix:
0000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111111111111101110000111111111000
0000011111111111111111111111111111100000000000000000000000001111111111111111111222222222222222222222222201110111000111222111
0011100000000001111111122222222222200000001111111111111222220000000011111111222000000000111111222222222210121012012012012111
1111200000111220001122200000011222200122220000011112222011220000111200001122002001222222011222000222222202221012012012012000
0101111222002122220102200000112011102100220001100220002111020112012201221101112110001222201012002111222211200222000222111000
1020112012221210020111101222122002212202000110011010122000110110120212000210012121120112111122002222011220210111000111222000
1210021220021001111001202122100011220120001010202020110101112011002220121100001021122220212120011011100012010000222222222111
2011110111001102212011101122110112002100020120020110020102002021000222020120210110222001122102110200202201110000000000000111
2200200120200200212120022201022102221111021220012022000002100000122121112022020101010021210211021012021211202102021102210111

projective group of automorphisms generated by:
212100102
012210101
212100101
212100111
101100002
112001222
000101122
101222100
110021022