length n = 68
dimension k = 3
alphabet length q = 5

minimum distance d = 54

generator matrix:
00000000000011111111111111111111111111111111111111111111111111111111
01011111111100010102020203030404111212121313141423232324242433343444
10101123234400101020202030304040112121213131414132323242424233434344

projective group of automorphisms generated by:
100
001
010

100
001
010