length n = 246
dimension k = 7
alphabet length q = 3

minimum distance d = 156

generator matrix:
000000000000000111111111111111111111111111000000000000000011111111111111111111111100000000001111111111111111111111111111110000000000111111111111111111111111111111000000000000000011111111111111111111111100000000000001111111111111111111111111110111
000000011111111000000000001111111122222222000000111111111100000000001111222222222200011111110000000000111111111111122222220001111111000000000011111111111112222222000111111111111100000000001111111222222200000011111110000000000111111111122222221012
000011101112222000011112220011122200002222000111000011122200000122221122000011122201101112220111112222000001111112200111220110111222011111222200000111111220011122011000011112222201111222220011122001222211111100011120000001112000011222211222222210
000102200110112122200220120200211200010022011001001102201200222100121102000202211210100020120112220112111220001220211002121010002012011222011211122000122021100212100012201220011210012001220102212220112201122222212220000110120001101001202000110222
001011200121021200112000012202122000201102112111120122221101112212212211112101202112011201221021221122022121121121122111221201120122102122112202212112112112211122202200201011212220111122000020100012010122200101120100122002210020100010222022120000
000001202201202102110022111221212001220120200121001100121111020101200201020201202122022210122102021112212011222102001012012202221012210202111221201122210200101201100101210212022021011220022001022110100011212220110222002022200021110010021101211120
111122112222111222222212221222121122121112211221121222121121111222211122211222121100000000000000000000000000000000000000002121112121222112121111121122211212211222122111112112222121122122111212111222122112122112112112122211121222211222212212220000

projective group of automorphisms generated by:
2211010
1011220
1211220
0022000
0201010
0212120
0000001