length n = 23
dimension k = 7
alphabet length q = 4

minimum distance d = 12

generator matrix:

0	0	0	0	0	0	1	0	0	1	1	1	1	1	1	1	1	1	1	1	1	1	0
0	0	0	0	0	1	0	1	1	0	0	1	1	1	1	2	2	2	3	3	3	1	1
0	0	0	0	1	0	0	2	3	2	3	1	1	2	3	0	1	2	0	1	3	1	0
0	0	0	1	0	0	0	1	1	1	1	2	3	2	3	2	1	0	3	1	0	1	1
0	0	1	0	0	0	0	1	1	2	3	0	0	2	3	1	2	1	1	3	1	1	1
0	1	0	0	0	0	0	2	3	2	3	2	3	1	1	2	0	1	3	0	1	1	0
1	0	0	0	0	0	0	2	3	1	1	2	3	0	0	1	2	2	1	3	3	1	0

by adding the parity bit to 22