length n = 247
dimension k = 6
alphabet length q = 4

minimum distance d = 177

generator matrix:
0000000000000000000000000000001111111111111111111111111111110000000000000000000011111111111111111111111111111111111111110000000000111111111111111111111111111111111111111111111111110000000000111111111111111111111111111111111111111111111111111111111
0000000000001111111111111111110000000000000000001111222233330000111111111111111100000000000000001111111111112222223333331111111111000000000011111111111111112222222222223333333333331111111111000000000011111111111111112222222222223333333333331111123
0001111111110000000001112223330000000001112223330003000200011111000011111122233300001111112223330000001113330002220001111111222333111122233300001112222223330001111112220001113333331111222333111122233300001112223333330001112222220001111113331111213
1110001122330001122330030020010001122330030020010030002000101123112300113302201111230011330220110011330030010220020110011223112133122311213312230220011220331120011220111330330011331233122113123312211312330330220011331220220011221130011330111112113
1231230302011230302010300200101230302010300200100300020001001321132113030120210113211303012021011303010300102020201010102123121313212312131321232021202013031211202011013133031303013213212131321321213132133032021303012122021202011311303011011121113
3213213020103213020103002001003213020103002001003000200010003121312131301022011031213130102201103130103001002202001101002213211331221321133122132202120103302112120101103313303130103231221311323122131132313302203130102212202120103113130101101211113

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

010000
000010
100000
001000
000001
000100