length n = 67
dimension k = 5
alphabet length q = 5

minimum distance d = 50

generator matrix:
0001111111100001111111000011111110111111111100011111111011111111110
0010112223401110000134111101222341003333444411100001222101112222342
0041040131012341334203003400011411341144002323302244134410240244211
1142113041232231441342232320134333311134023121322324004143324401224
1332212042331012242123003034004131040320300123043113330144340204243

by adding the parity bit to 66