The generator matrix

 1  0  1  1  1  1  1  0  1  1  1  0  1  1  1  0  3  1  1  1  1  1  0  1  1  0  1  1  6  1  1  1  0  1  1  1  6  1  1  3  6  1  1  1  0  1  1  1  1  1  1  1  1  1  0  1
 0  1  1  8  0  1  8  1  0  7  8  1  0  4  2  1  1  0  7  8  7  0  1  8  3  1  7  2  1  8  1  0  1  7  6  8  1  3  7  1  1  0  5  3  1  6  4  2  7  6  2  0  3  6  1  3
 0  0  6  0  0  0  0  0  0  0  0  0  0  3  0  3  6  3  6  3  6  0  3  3  6  3  6  0  6  6  6  3  6  3  0  0  6  3  6  6  0  6  6  0  0  6  6  3  0  3  0  6  3  6  6  0
 0  0  0  3  0  0  0  0  0  0  0  6  0  0  6  3  6  0  3  6  0  3  3  6  0  3  3  3  6  0  3  3  3  3  6  3  6  0  6  3  6  0  3  6  6  0  0  6  6  0  0  6  0  3  6  3
 0  0  0  0  3  0  0  0  3  6  6  0  3  6  6  0  0  6  3  3  6  0  3  6  0  6  3  3  3  6  0  0  3  0  6  0  3  0  0  6  0  6  0  0  6  6  6  0  6  3  0  6  6  6  3  0
 0  0  0  0  0  6  0  3  6  6  6  6  0  3  6  6  6  0  6  6  3  6  0  3  6  3  0  6  0  0  3  0  3  6  0  3  0  0  0  0  6  0  0  0  6  6  6  0  0  6  6  3  6  3  3  6
 0  0  0  0  0  0  3  6  6  6  0  6  6  6  3  6  0  6  0  6  6  6  6  6  6  0  0  0  6  0  6  3  3  3  6  6  3  0  6  6  0  6  3  0  0  0  3  0  3  3  0  6  3  3  3  3

generates a code of length 56 over Z9 who´s minimum homogenous weight is 96.

Homogenous weight enumerator: w(x)=1x^0+126x^96+48x^97+246x^99+330x^100+468x^102+798x^103+652x^105+1440x^106+824x^108+2244x^109+1082x^111+2928x^112+1252x^114+2646x^115+832x^117+1830x^118+560x^120+696x^121+180x^123+132x^124+142x^126+24x^127+92x^129+6x^130+56x^132+34x^135+12x^138+2x^141

The gray image is a code over GF(3) with n=168, k=9 and d=96.
This code was found by Heurico 1.16 in 25.9 seconds.