length n = 168
dimension k = 6
alphabet length q = 3

minimum distance d = 108

generator matrix:
000001000001111111111000000000000000000001111111111111111111111111111111111111111000000000011111111111111111111111111111111111111111111111111111111111111111111111111111
000010011110000111111000011111111111111110000000000000000111111111111222222222222111111111100000000001111111111111111222222222222222222222222111111111222222221111222222
000100101110111000111111100001111112222220000111111222222000000111222000000111222111122222211112222220000111222222222000000111111111222222222111112222111122221222111222
001000110111011011001112211220011220011221122001122001122001122002001001122001002122211122212221112221222022000112222111222000112222000111122111221122112211222122122112
010000111011101101010121212121202011201021212120201120102120201020010120102010020212212211221221221122122202122020012122112122020012112001201112121212121212122212212121
100000111101110110100211221122120101210202112212010121020212010200100121020100200221221212122122121212212220212201200212121212201200121120010112212112211212212221221211

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