length n = 224
dimension k = 7
alphabet length q = 3

minimum distance d = 144

generator matrix:
00000000000000011111100000000000000001111111111110000111000000000000000000000000111111111111111111111111111111111111111111111111111111111111000000000000111111111111111111111111111111000000111111111111111111111111111111111111
00000000001111100000100000000111111110000000011110011001000011111111111111111111000000000000000000001111111111111111222222222222222222222222001111111111000000000011111111222222222222111111000000111111111111222222222222222222
00000011110000100001000001111000011110000111100001100001111100001111111122222222000011111111222222220000000022222222000000001111111122222222110022222222002222222211111122000000001122111122111122000022222222001111111122222222
00011100010001000010001110011001100010011000100010101010112211220012222200111222112200122222001112220012222200001122001112220000112200001122121200111222120011122200022202001112220201122212122212122200112222120011222200111122
01100100100010000100010110101110000100101001000101001100121222112220012211002122121212002222120220112220012200120201221120011122000000120201211222112001211202201102200220110021220210212221212212212212020122212222001112011201
10101001000100001000011011100010101001010010001000110100221112122221200222121001212122220012221121001202220212210000120221100201020112002010122111020122211120021220202002122201012010221221221221221222221001121202120221102110
11010010001000010000011101010101010001100100010001010010212121211202222012220110221122221200112002122221202021002010112001222010201021210000212112202110122211210022020020221210102001222112222121222121202210212120212011220011

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

0010000
0100000
1000000
0000010
0000001
0000100
0001000