length n = 126
dimension k = 3
alphabet length q = 8

minimum distance d = 110

generator matrix:
100100111100111100111100111100111100111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
001011002511002511003611003611004711004711125125136136147147125125136136147147224557224557233566233566234567234567344677344677
010025250025250036360036360047470047470011215215316316417417521521631631741741452275452275656323656323743652743652767434767434

by truncation of 127