length n = 16
dimension k = 6
alphabet length q = 5

minimum distance d = 8

generator matrix:
0000011111011111
0011100011101111
1100100101110111
0111001100111011
1001111000111101
1110010010111110

projective group of automorphisms generated by:
100000
000100
000010
000001
010000
001000

001000
000100
000001
000010
010000
100000