length n = 29
dimension k = 7
alphabet length q = 4

minimum distance d = 15

generator matrix:
01111110011111111111101111111
10111111100111122233310122331
11011112323112301201323201231
11101111111232321031033032121
11110111123002312113121323021
11111012323231120130132213301
11111102311230012213312330211

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

0000010
0000001
0001000
0100000
0000100
0010000
1000000