length n = 124
dimension k = 8
alphabet length q = 3

minimum distance d = 72

generator matrix:
0000000100000001111111000000000000001111111111111111111111111111111111111111110111111111111111111111111111111111111111111111
0000001000011110000122001111111111110000000000001111111111111122222222222222221011111111111111221111111111112222222222222222
0000010001100120022001110011111222220011122222220000001111222200001111111222221101111111111112121111222222221111111122222222
0000100010101200201200121101122012222201101111220112221222001201220000122001121110111111111121121222111222221112222211111222
0001000022020200120020211220222110221111220012122021120012021012020122000221211111011111111211122122122112221221122211222111
0010000020210022010200211212100121121222021201111221220201210220201001102121001111101111112111122212222121122122211212112112
0100000001222001200002112212212201202212111220102100122020110011121220212200021111110111121111122222212211212211212122121121
1000000012002012002010122221012111011220222211021212002100102211212121010010201111111011211111122221221222112222121121211211

projective group of automorphisms generated by:
00000010
00010000
00000100
10000000
01000000
00001000
00100000
00000001

01000000
00001000
00000100
00000001
00010000
10000000
00000010
00100000