The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1  1  3  3  1  1  1  1  1  1  1
 0  3  0  0  0  0  0  0  0  0  3  6  6  3  3  3  0  6  3  6  3  0  3  0  6  3  0  6  3  6  6  6  3  3  0  6  0  0  6  3  6  0  6  6  3  3  3  0  3  6  3  6  3
 0  0  3  0  0  0  0  3  6  6  6  0  0  6  3  6  3  0  3  3  0  6  6  0  3  3  6  0  3  0  6  6  6  3  0  3  3  0  6  3  6  3  0  3  0  0  3  3  0  0  3  3  3
 0  0  0  3  0  0  3  6  0  6  0  0  6  3  3  6  0  3  0  6  0  6  6  0  6  0  3  6  6  3  3  3  6  0  6  6  0  3  6  0  3  3  6  3  6  0  0  6  6  0  3  3  0
 0  0  0  0  3  0  6  6  3  0  6  6  6  0  6  6  0  6  3  0  6  6  0  3  6  0  6  3  0  3  0  3  0  6  6  0  6  3  0  3  6  3  6  3  0  6  0  3  0  0  6  6  6
 0  0  0  0  0  3  6  6  6  6  6  6  3  6  3  3  6  3  6  6  6  6  0  6  0  3  0  0  6  3  6  0  6  3  3  0  0  0  3  3  0  0  6  0  3  0  0  3  0  3  6  0  6

generates a code of length 53 over Z9 who´s minimum homogenous weight is 96.

Homogenous weight enumerator: w(x)=1x^0+164x^96+122x^99+54x^100+324x^103+176x^105+648x^106+68x^108+432x^109+90x^114+24x^117+44x^123+28x^126+10x^132+2x^150

The gray image is a code over GF(3) with n=159, k=7 and d=96.
This code was found by Heurico 1.16 in 14.2 seconds.