length n = 15
dimension k = 5
alphabet length q = 5

minimum distance d = 9

generator matrix:
000010111111111
000101023411144
001004340211414
010002234014114
100003402341114

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

10000
00100
01000
00001
00010