length n = 157
dimension k = 8
alphabet length q = 3

minimum distance d = 94

generator matrix:
0000000100000001000000000000000000000111111111111111111111111111111111110000000000000011111111111111111111111111111111111111111111111111111111111111111111111
0000001000000010000000111111111111111000000000000000111111112222222222220011111111111100000000000011111111111122222222222222222211111111111111112222222222221
0000010000000100011111000001111222222000001111222222000012220000001112221100111112222200112222222200000112222200000111111112222211111111112222221111112222222
0000100000001000101122012220122000112011220022001122012200020001220120011212011220112212120011122212222220012200222000001220111111111122221111221111221122222
0001000000010000210222220120201112002212020201120201100220200122010020102221222222010221012212201101122020200222011012220021012211122211121112121112121212222
0010000000100000122012202111220021020202112102102020220000211201202001002121102121202122221100211120212202222112202220110000100112211211211121121121121221221
0100000001000000221210211202020210201120122020220110022021002210011000021122222002221111221221010222020221001021121121022202020021212112111211121211121222122
1000000010000000112201121022002201120122202210011002202102001020100202102212220211121022202122122022201002120011110202202111201022121121112111122111121222211

by adding the parity bit to 156