length n = 83
dimension k = 7
alphabet length q = 3

minimum distance d = 52

generator matrix:
00000000000111111111111111111111111111110000000000111111111111111111111111111111011
00001111111000000000011111111111122222220001111111000000000000111111111112222222120
01110001112000001222200000111122200112221110001112000000112222000011222220111222212
10122221222000110000201122001200201020120121120021011222120002011201000111002122112
02120020020112021000001201010222022112112011200202101001011220211022012010221202122
22000001202121022112012222001001200010110020122021122011220001001120222102120110222
20121200120111222010021121102120021220222212200120212112001022012011110212120122201

projective group of automorphisms generated by:
0000001
1000002
0100002
0010000
0001000
0000100
0000012