length n = 112
dimension k = 6
alphabet length q = 3

minimum distance d = 72

generator matrix:
0000010000000000111111111100000111111111100000000000000000000111111111111111111111111111111111111111111111111111
0000100000111111000000111101111000011111100001111111111111111000000000000000011111111111122222222222211111222222
0001000111000111000111000110111011100011111110000111111222222000011111122222200000011122200000011122211222111222
0010001011011001011001001011011101101100111221122001122001122112200112200112200112200200100112200100212122122112
0100001101101010101010010011101110110101012121212120201120102121212020112010212020102001012010201002012212212121
1000001110110100110100100011110111011010021122112212010121020211221201012102021201020010012102010020012221221211

projective group of automorphisms generated by:
001000
100000
010000
000100
000010
000001

000100
100000
001000
010000
000010
000001

000010
100000
001000
000100
010000
000001

000001
100000
001000
000100
000010
010000