length n = 65
dimension k = 3
alphabet length q = 5

minimum distance d = 51

generator matrix:
00000000000000111111111111111111111111111111111111111111111111111
01010111111111000010102020303040411121213131414222323242433343444
10101011232344000101020203030404011212131314141223232424233434344

projective group of automorphisms generated by:
100
001
010

100
001
010