length n = 223
dimension k = 7
alphabet length q = 3

minimum distance d = 143

generator matrix:
0000010000010000000000000000000011111111110000011111111110000000000000000000011111111111111111111111111111111111111110111110000011111111111111111111111110000000000111111111111111111111111111111111111111111111111111111111111
0000100000100000000000001111111100000000220111100001111110000111111111111111100000000000000001111111111112222222222221011111111100000111111111111222222221111111111000000000011111111111111112222222222222222222222221111222222
0001000001000000001111110000002200000022001011101110001111111000011111122222200001111112222220000001112220000001112221101111112211122000111111222001112221111222222111122222200001112222222220000001111111112222222221222111222
0010000010000011110000220000220000002200001101110110110011122112200112200112211220011220011220011220020010011220010021110111121211212112001122011120110221222111222122211122212220220001122221112220001122220001111222122122112
0100000100001100220022000022000000220000001110111011010101212121212020112010212121202011201021202010200101201020100201111011211212112121120201101121012022122122112212212211221222021220200121221121220200121120012012212212121
1000001000002222002200002200000022000000001111011101101002112211221201012102021122120101210202120102001001210201002001111102111221112211212010110121102202212212121221221212122122202122012002121212122012001211200102221221211
0000002222221212121212121212121212121212120000000000000001112111211111112112211121111111211221111111111111211221112222222222222122221222222222222212221111112112122111211212211121111121112121121221121112121221212220000000000

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

0000100
0010000
0001000
0100000
0000010
1000000
0000001