length n = 225
dimension k = 7
alphabet length q = 3

minimum distance d = 144

generator matrix:
000000100000000000000011111100000011111111111111100000000000000000000000011111111111111111111111111111111111111111111111111111111111100000000000011111111111111111111111111111100000011111111111111111111111111111111111111111111
000001000000000001111100000101111100000111111111100001111111111111111111100000000000000000000111111111111111122222222222222222222222200111111111100000000001111111122222222222211111100000011111111111122222222222222222211111122
000010000000011110000100001010111101111000011111111110000111111112222222200001111111122222222000000002222222200000000111111112222222211002222222200222222221111112200000000112211112211112200002222222200111111112222222211111212
000100000011100010001000010011011110111011100011111221122001222220011122211220012222200111222001222220000112200111222000011220000112212120011122212001112220002220200111222020112221212221212220011222212001122220011112211112112
001000001100100100010000100011101111011101101100112122211222001221100212212121200222212022011222001220012020122112001112200000012020121122211200121120220110220022011002122021021222121221221221202012221222200111201120111121112
010000010101001000100001000011110111101110110101022111212222120022212100121212222001222112100120222021221000012022110020102011200201012211102012221112002122020200212220101201022122122122122122222100112120212022110211011211112
100000011010010001000010000011111011110111011010021212121120222201222011022112222120011200212222120202100201011200122201020102121000021211220211012221121002202002022121010200122211222212122212120221021212021201122001112111112

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

0010000
0100000
1000000
0000010
0000001
0000100
0001000