length n = 127
dimension k = 7
alphabet length q = 3

minimum distance d = 78

generator matrix:
0000000000000001111110000000000001111111110000001111111111111110001111111111111111110000001111111111111111111111111111111111111
0000000000111110000010000001111110000001220111110000011111111111110001111111222222221111110000001111111111112222222222222222221
0000001111000010000101111110000000000002121011110111100001111111111110002222111122221111221111220000222222220011111111222222221
0001110001000100001000001220001220001220001101111011101110001111221221220112011201221222121222121222001122221200112222001111221
0110010010001000010001220000002121220000001110111101110110110012121222121021211022012122212122122122120201222122220011120112011
1010100100010000100000002121220002120000001111011110111011010102122121222110102122102212212212212212222210011212021202211021101
1101001000100001000002120002120000002120001111101111011101101001222122121201120110222221122221212221212022102121202120112200111

projective group of automorphisms generated by:
0000010
1000000
0000100
0000001
0001000
0010000
0100000

0010000
0100000
1000000
0000010
0000001
0000100
0001000