length n = 49
dimension k = 4
alphabet length q = 8

minimum distance d = 40

generator matrix:
0001111111110001111111110001111111111111111111111
1110002245571110002345671110003446771223334556667
2274550022703572467030503446770004341364565362372
4552274500054627350406027674347670001675623433526

projective group of automorphisms generated by:
0010
1000
0100
0001

0001
1000
0010
0100