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

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

Homogenous weight enumerator: w(x)=1x^0+432x^96+1884x^99+2650x^102+3218x^105+3488x^108+3160x^111+2564x^114+1614x^117+562x^120+104x^123+6x^126

The gray image is a code over GF(3) with n=162, k=9 and d=96.
This code was found by Heurico 1.16 in 6.24 seconds.