length n = 29
dimension k = 5
alphabet length q = 3

minimum distance d = 17

generator matrix:
00000000000011111111111111111
01110111011101111222211112222
10121012101201122112211221122
11101201222001112122222121211
12022210210101222111212112212

projective group of automorphisms generated by:
10000
00010
00001
00100
02000