length n = 83
dimension k = 6
alphabet length q = 3

minimum distance d = 53

generator matrix:
01111101111100000000001111111111111111111111111111111111111111111111111111111111111
10111110111111111111110000000000111111111111111122222222222222222222222211111222222
11011111011111112222221111222222000011122222222200000011111111122222222211222111222
11101111101112221112221222111222122202200011222211122200011222200011112212122122112
11110111110121221221122122122112212220212202001212211212202001211200120112212212121
11111011111022122121212212212121221222021220120021212121220120012112001012221221211

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

000100
100000
001000
010000
000010
000001

000010
100000
001000
000100
010000
000001

000001
100000
001000
000100
000010
010000