length n = 27
dimension k = 7
alphabet length q = 4

minimum distance d = 14

generator matrix:
000001001111111111110111111
000010110011112223331012233
000100232311230120133232301
001000111123232103102203123
010000112300231211313123032
100000232323112013012330212
000000231123001221331321320

by truncation of 28