length n = 116
dimension k = 7
alphabet length q = 3

minimum distance d = 72

generator matrix:
00000000000011111111100000000000000000000000011111111111111111101111110000001111111111111111111111111111111111111111
00000011111100000012200000000000011111111111100000000000011222210111111111110000001111111111111122222222222222221111
00011100012200012200000000011111100000011222200000011222200000011011111111221111220000111222222200111111122222221111
01102201200000100220000111100112200122200000000002202000100001211101111222121122221122022011112222011112200011221111
11220002000202001000211122212000000001202000100120020002002010011110112122122212121222111201120212100221211202011111
12000120201021020000022001200020212210020002012220000120000000011111011212111212112212202120201012112011212120221111
20212010020020200001012210022201022000000120021001200000020200011111102112222122122112220112011211221100012222101111

projective group of automorphisms generated by:
0100000
0000100
0000001
1000000
0010000
0000010
0001000

0010000
0001000
0000100
1000000
0000001
0100000
0000010