length n = 51
dimension k = 5
alphabet length q = 3

minimum distance d = 32

generator matrix:
000010001100011001110011111111001111111101111111111
000100110000101110011100112222110011112210122111122
001000010111000020221212110012121200221222012111212
010001100001010221001121021202221212011012201112112
100001001010100102202111201210122221100221220121112

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

01000
10000
00100
00001
00010