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

generates a code of length 48 over Z9 who´s minimum homogenous weight is 96.

Homogenous weight enumerator: w(x)=1x^0+60x^96+12x^99+6x^102+2x^108

The gray image is a code over GF(3) with n=144, k=4 and d=96.
This code was found by Heurico 1.16 in 0.00924 seconds.