The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+246x^96+246x^97+192x^98+684x^99+906x^100+510x^101+1232x^102+1752x^103+1080x^104+1880x^105+2952x^106+1716x^107+2772x^108+4176x^109+2286x^110+3428x^111+5094x^112+2934x^113+3378x^114+5292x^115+2184x^116+2874x^117+3402x^118+1458x^119+1976x^120+1728x^121+576x^122+704x^123+582x^124+174x^125+314x^126+102x^127+12x^128+96x^129+12x^130+48x^132+22x^135+18x^138+8x^141+2x^144

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 81.7 seconds.