length n = 16
dimension k = 5
alphabet length q = 3

minimum distance d = 9

generator matrix:
0110011011111111
1221122112000022
0001122221000101
2010201202122111
2100210120212111

projective group of automorphisms generated by:
10000
01000
00100
00010
00001

00001
01000
00100
10000
00010