length n = 38
dimension k = 6
alphabet length q = 5

minimum distance d = 23

generator matrix:
00000000001111111111111111111111111111
00111111110000000011111144444411111123
11001144440011444400111400001411111321
14110401141411001404004001441011113121
41141140101104141040040011040411131121
11414041044140140411400110400011311121

projective group of automorphisms generated by:
100000
000100
000010
000001
010000
001000

001000
000100
000001
000010
010000
100000