The generator matrix

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

generates a code of length 57 over Z9 who´s minimum homogenous weight is 96.

Homogenous weight enumerator: w(x)=1x^0+54x^96+18x^98+230x^99+42x^100+114x^101+422x^102+156x^103+216x^104+792x^105+270x^106+414x^107+1290x^108+552x^109+666x^110+1678x^111+912x^112+864x^113+1864x^114+972x^115+846x^116+1898x^117+894x^118+648x^119+1328x^120+444x^121+378x^122+828x^123+108x^124+180x^125+266x^126+24x^127+30x^128+120x^129+72x^132+60x^135+16x^138+8x^141+8x^144

The gray image is a code over GF(3) with n=171, k=9 and d=96.
This code was found by Heurico 1.16 in 5.74 seconds.