length n = 18
dimension k = 5
alphabet length q = 7

minimum distance d = 11

generator matrix:
111111111111111111
111111222222444444
123456123456123456
421124214412142241
145236145236145236

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

10000
02000
00300
00010
00005