length n = 224
dimension k = 6
alphabet length q = 3

minimum distance d = 146

generator matrix:
00000100000100000000000000000000000000000011111111111111111111111111111100000111111111100000000000000000000111111111111111111111111111111111111111100000000001111111111111111111111111111111111111111111111111111111111111111111
00001000001000000000000011111111111111111100000000000000000011112222222201111000011111100001111111111111111000000000000000011111111111122222222222211111111110000000000111111111111111122222222222222222222222211111221111222222
00010000010000011111111100000000011122222200000000011122222200020000001210111011100011111110000111111222222000011111122222200000011122200000011122211112222221111222222000011122222222200000011111111122222222211112121222111222
00100000100011100011222200011222200200001200011222200200001200200000120011011101101100111221122001122001122112200112200112200112200200100112200100212221112221222111222122202200011222211122200011222200011112211121122122122112
01000001000012212202001212202001202000120012202001202000120002000012000011101110110101012121212120201120102121212020112010212020102001012010201002021221221122122122112212220212202001212211212202001211200120111211122212212121
10000010000021221220120021220120020012000021220120020012000020001200000011110111011010021122112212010121020211221201012102021201020010012102010020022122121212212212121221222021220120021212121220120012112001012111122221221211

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