length n = 78
dimension k = 3
alphabet length q = 5

minimum distance d = 62

generator matrix:
000000000000011111111111111111111111111111111111111111111111111111111111111111
010111111111100101010202020303030404111212121313131414142232323242424333434344
101012323234401010102020203030304040112121213131314141412323232424242334343434

projective group of automorphisms generated by:
100
001
010

100
001
010