The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+82x^96+30x^97+42x^98+336x^99+432x^100+282x^101+830x^102+1128x^103+762x^104+1390x^105+2220x^106+1248x^107+2312x^108+3426x^109+1890x^110+2996x^111+4596x^112+2634x^113+3272x^114+5118x^115+2436x^116+3608x^117+4632x^118+2196x^119+2500x^120+2958x^121+1086x^122+1386x^123+1218x^124+432x^125+616x^126+420x^127+114x^128+188x^129+66x^130+72x^132+58x^135+20x^138+8x^141+8x^144

The gray image is a code over GF(3) with n=171, k=10 and d=96.
This code was found by Heurico 1.16 in 40.5 seconds.