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

minimum distance d = 20

generator matrix:
00000111100001111111111111111
00111013411110112234400122334
01234000000001131331324224244
14133123400003234411221144323
04133432112344112323412323441

projective group of automorphisms generated by:
00100
42000
30000
00040
00001