length n = 125
dimension k = 8
alphabet length q = 3

minimum distance d = 72

generator matrix:

0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	1	1	1	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	0	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
0	0	0	0	0	0	1	0	0	0	0	1	1	1	1	0	0	0	0	1	2	2	0	0	1	1	1	1	1	1	1	1	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	1	0	1	1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	1	1	1	1	1	1	1	1	1	1	1	1	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	1
0	0	0	0	0	1	0	0	0	1	1	0	0	1	2	0	0	2	2	0	0	1	1	1	0	0	1	1	1	1	1	2	2	2	2	2	0	0	1	1	1	2	2	2	2	2	2	2	0	0	0	0	0	0	1	1	1	1	2	2	2	2	0	0	0	0	1	1	1	1	1	1	1	2	2	2	2	2	1	1	0	1	1	1	1	1	1	1	1	1	1	1	1	2	1	2	1	1	1	1	2	2	2	2	2	2	2	2	1	1	1	1	1	1	1	1	2	2	2	2	2	2	2	2	1
0	0	0	0	1	0	0	0	1	0	1	0	1	2	0	0	2	0	1	2	0	0	1	2	1	1	0	1	1	2	2	0	1	2	2	2	2	2	0	1	1	0	1	1	1	1	2	2	0	1	1	2	2	2	1	2	2	2	0	0	1	2	0	1	2	2	0	0	0	0	1	2	2	0	0	1	1	2	1	1	1	0	1	1	1	1	1	1	1	1	1	1	2	1	1	2	1	2	2	2	1	1	1	2	2	2	2	2	1	1	1	2	2	2	2	2	1	1	1	1	1	2	2	2	0
0	0	0	1	0	0	0	0	2	2	0	2	0	2	0	0	1	2	0	0	2	0	2	1	1	2	2	0	2	2	2	1	1	0	2	2	1	1	1	1	2	2	0	0	1	2	1	2	2	0	2	1	1	2	0	0	1	2	0	2	1	0	1	2	0	2	0	1	2	2	0	0	0	2	2	1	2	1	1	1	1	1	0	1	1	1	1	1	1	1	1	2	1	1	1	2	2	1	2	2	1	2	2	1	1	2	2	2	1	2	2	1	1	2	2	2	1	1	2	2	2	1	1	1	1
0	0	1	0	0	0	0	0	2	0	2	1	0	0	2	2	0	1	0	2	0	0	2	1	1	2	1	2	1	0	0	1	2	1	1	2	1	2	2	2	0	2	1	2	0	1	1	1	1	2	2	1	2	2	0	2	0	1	2	1	0	2	2	0	2	0	1	0	0	1	1	0	2	1	2	1	0	0	1	1	1	1	1	0	1	1	1	1	1	1	2	1	1	1	1	2	2	2	1	2	2	2	2	1	2	1	1	2	2	1	2	2	2	1	1	2	1	2	1	1	2	1	1	2	2
0	1	0	0	0	0	0	0	0	1	2	2	2	0	0	1	2	0	0	0	0	2	1	1	2	2	1	2	2	1	2	2	0	1	2	0	2	2	1	2	1	1	1	2	2	0	1	0	2	1	0	0	1	2	2	0	2	0	1	1	0	0	1	1	1	2	1	2	2	0	2	1	2	2	0	0	0	2	1	1	1	1	1	1	0	1	1	1	1	2	1	1	1	1	1	2	2	2	2	2	2	1	2	2	1	1	2	1	2	2	1	1	2	1	2	1	2	2	1	2	1	1	2	1	0
1	0	0	0	0	0	0	0	1	2	0	0	2	0	1	2	0	0	2	0	1	0	1	2	2	2	2	1	0	1	2	1	1	1	0	1	1	2	2	0	2	2	2	2	1	1	0	2	1	2	1	2	0	0	2	1	0	0	1	0	2	2	1	1	2	1	2	1	2	1	0	1	0	0	1	0	2	0	1	1	1	1	1	1	1	0	1	1	2	1	1	1	1	1	1	2	2	2	2	1	2	2	1	2	2	2	1	1	2	2	2	2	1	2	1	1	2	1	2	1	1	2	1	1	0

by adding the parity bit to 124