length n = 28
dimension k = 7
alphabet length q = 4

minimum distance d = 15

generator matrix:
0000001001111111111110111111
0000010110011112223331012233
0000100232311230120133232301
0001000111123232103102203123
0010000112300231211313123032
0100000232323112013012330212
1000000231123001221331321320

projective group of automorphisms generated by:
0000010
0000100
0010000
0000001
0100000
1000000
0001000

0000010
0000001
0001000
0100000
0000100
0010000
1000000