length n = 61
dimension k = 3
alphabet length q = 5

minimum distance d = 49

generator matrix:
0000000000011111111111111111111111111111111111111111111111111
0101111111100010102020303040411121213131414222323242433343444
1010112323400101020203030404011212131314141223232424233434344

projective group of automorphisms generated by:
100
001
010

100
001
010