length n = 112
dimension k = 6
alphabet length q = 5

minimum distance d = 82

generator matrix:
0000011111000000000011111111111111111111000000000011111111111111111111000001111111111111111111111111111111111111
0011100011001111111100000000111111444444001111111100000000112223334444111110000011112222223333334444111123111144
1100100101110011444400114444001114000014110022334400223344340020010014122331223302240011340023341234111213111414
0111001100141104011414110014040040014410341104240334020114003400240230324144142330332322041210410032112113114114
1001111000411411401011041410400400110404433420014111402430000434203002414233241433034203224121103200121113141114
1110010010114140410441401404114001104000114334202043432002432001001400332213322142204130103204033412211113411114

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

001000
000100
000001
000010
010000
100000