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

generates a code of length 51 over Z9 who´s minimum homogenous weight is 96.

Homogenous weight enumerator: w(x)=1x^0+82x^96+54x^99+162x^100+324x^103+60x^105+14x^108+18x^114+12x^117+2x^150

The gray image is a code over GF(3) with n=153, k=6 and d=96.
This code was found by Heurico 1.16 in 0.134 seconds.