length n = 24
dimension k = 7
alphabet length q = 4

minimum distance d = 12

generator matrix:
000000100111111111111100
000001011001111222333110
000010023231123012013100
000100011112323210310110
001000011230023121131110
010000023232311201301100
100000023112300122133100

by adding the parity bit to 23