length n = 125
dimension k = 6
alphabet length q = 9

minimum distance d = 80

generator matrix:
00001000000000000000000000000000000001111111111111111111111111111111111111111111111110000000011111111111111111111111111111111
00010000000001111111111111111111111110000000000000000000000001111111111112222222222221111111100000000111111111111222222222222
00100111111110000000011111111222222220000000011111111222222220000000011220000000011221111222211112222000011112222000011112222
01000111122221111222200001122000011221111222200001122000011220000112200000000112200001122112211221122112200120012112200120012
10000112211221122112211220000112200001122112211220000112200001122000000001122000000001212121212121212121212001200121212001200
00000363636363636363636363636363636363636363636363636363636363636363636363636363636360000000000000000000000000000000000000000

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

100000
020000
001000
000100
000010
000001

010000
000100
100000
000010
001000
000001

100000
010000
001000
000100
000010
000001