length n = 74
dimension k = 7
alphabet length q = 4

minimum distance d = 46

generator matrix:
00000010000000000001111111111111111111111111111110011111111111111111111100
00000100011111111110000000000111111112222223333331100111122233311111123100
00001001100111122330011112233000022230011120013332323112301201311111213000
00010001223012301331300231233012200100102211300131111232321031011112113200
00100003113221322001312230011321201032200110033001123002312113111121113300
01000003213122010132121031103320022001121003130302323231120130111211113100
10000003121200311312322102130302110231010003301012311230012213312111113200

by adding the parity bit to 73