length n = 66
dimension k = 3
alphabet length q = 5

minimum distance d = 52

generator matrix:
000000000000011111111111111111111111111111111111111111111111111111
010101111111100101020202030304040411121212131314142232324243343444
101010112323401010202020303040404011212121313141412323242423434344

projective group of automorphisms generated by:
100
001
010

100
001
010