length n = 157
dimension k = 7
alphabet length q = 3

minimum distance d = 99

generator matrix:
0000000000001111111111111110000000000011111111111111100000000111111111111111111000001111111111111111111110000000011111111111111111100000111111111111111111111
0000001111110001111112222220000011111100011111122222200011111000000001111122222001110000000001112222222221111111100000111111112222211111000001111122222222222
0000110112221120011220011120001101122211200112200111201100022000122220011200122010120000011110220001122220001111211222111112220012201222001121122200111222222
0011221120110201102010201110112211201102011020102011110002212012100111200101001120020011100121011220000111221122112002112220120220122122011221222212022000122
0122012010012210111120001121220120100122101111200011200210100202000122012102111221100202200122000020101121001202210122121121122221022012102012211211212002222
0201002120011011102100100222010021200110111021001002221000211201201202222121001202202120212210111212201211121112201001020120201202111222211201101221011121001
1000000000000000000000000002212111221121211111222111212121122122211112222212222000000000000000000000000001211112112211121111221211121212121222112121221111121

projective group of automorphisms generated by:
0000010
1000010
0100000
0010010
0001000
0000120
0000001