length n = 237
dimension k = 8
alphabet length q = 3

minimum distance d = 147

generator matrix:
000000010000000100000000000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111101111111111111111111111111111111111111111111111111111
000000100000001000000011111111111111111111111111111111111100000000000000000000000000000000000011111111111111111111111111111111111111111122222222222222222222222222222222222222222222222210111111111111112211111111111122222222222222221112222
000001000000010011111100000011111111111111222222222222222200000011111111111111222222222222222200000000000000111111111111222222222222222200000000000000001111111111111111222222222222222211011111111111121211112222222211111111222222221221122
000010000000100011222211112200111112222222000011111222222211112200111112222222000011111222222200001112222222000001112222000001111112222200111111122222220000000111122222000000011111222211101111111111211212221112222211122222111112222121212
000100000001000012122212221222011120111222112201222000111212221211012220111222112200012011122211220120111222002220220002111220001120001222000111201112220011122011200012001122201222000111110111111112111222221221112212211122112221121222211
001000000010000022112211222211202201012012121212112112002221221212120112002012121112220211201222122011012001120222021120012000120010221212112022110121222201112002001200121201210002001011111011111121111221222121221221212212221121112212112
010000000100000021111221121112120222120200212211012121122012122221221021121202221211201101210012122221200121222010000211101122200201020011122101022102011220200120110002121220110020122011111101111211111222122222121122121221121211212122121
100000001000000011212122121221222011201212112120100122120121121122202201210210121221211210022121221202121120211102202000220121012001200012212210122020101212012200011210110012001200210211111110112111111222212212212122222111212112112211221

projective group of automorphisms generated by:
00100000
00000010
00010000
10000000
00001000
01000000
00000100
00000001

00000100
00000001
00001000
10000000
00100000
00000010
01000000
00010000