length n = 52
dimension k = 3
alphabet length q = 5

minimum distance d = 41

generator matrix:
0000000001111111111111111111111111111111111111111111
0101111110010102020303041121213131414223232424334344
1010123230101020203030401212131314141232324242343434

projective group of automorphisms generated by:
100
001
010

100
001
010