The generator matrix

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

generates a code of length 54 over Z9 who´s minimum homogenous weight is 96.

Homogenous weight enumerator: w(x)=1x^0+308x^96+192x^97+318x^98+1002x^99+486x^100+594x^101+1530x^102+654x^103+678x^104+1624x^105+756x^106+732x^107+1912x^108+738x^109+786x^110+1824x^111+714x^112+618x^113+1516x^114+480x^115+402x^116+800x^117+270x^118+186x^119+390x^120+72x^121+54x^122+26x^123+12x^124+6x^125+2x^126

The gray image is a code over GF(3) with n=162, k=9 and d=96.
This code was found by Heurico 1.13 in 1.92 seconds.