The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+70x^96+114x^97+204x^98+798x^99+576x^100+600x^101+2360x^102+1038x^103+1164x^104+3256x^105+1488x^106+1752x^107+4632x^108+1896x^109+2178x^110+5868x^111+2472x^112+2448x^113+5926x^114+2286x^115+2370x^116+5082x^117+1776x^118+1572x^119+3146x^120+1002x^121+654x^122+1278x^123+378x^124+156x^125+322x^126+72x^127+24x^128+28x^129+24x^130+18x^132+6x^135+6x^138+4x^144+4x^147

The gray image is a code over GF(3) with n=168, k=10 and d=96.
This code was found by Heurico 1.16 in 40.3 seconds.