length n = 28
dimension k = 4
alphabet length q = 5

minimum distance d = 20

generator matrix:
0001111111111111111111111111
1110001144441123112223334444
1441440400141213241342341234
4144144014002113424313242143

projective group of automorphisms generated by:
0001
1000
0100
0010

0100
1000
0010
0001