length n = 72
dimension k = 7
alphabet length q = 4

minimum distance d = 46

generator matrix:
000000100000000000011111111111111111111111111111100111111111111111111111
000001000111111111100000000001111111122222233333311001111222333111111231
000010011001111223300111122330000222300111200133323231123012013111112130
000100012230123013313002312330122001001022113001311112323210310111121132
001000031132213220013122300113212010322001100330011230023121131111211133
010000032131220101321210311033200220011210031303023232311201301112111131
100000031212003113123221021303021102310100033010123112300122133121111132

by adding the parity bit to 71