length n = 84
dimension k = 3
alphabet length q = 5

minimum distance d = 67

generator matrix:
000000000000001111111111111111111111111111111111111111111111111111111111111111111111
010101111111110001010102020203030304040411121212131313141414222323232424243334343444
101010112323230010101020202030303040404011212121313131414141223232324242423343434344

projective group of automorphisms generated by:
100
001
010

100
001
010