The generator matrix

 1  0  1  1  1  1  1  0  1  1  1  0  1  1  1  0  1  1  1  0  1  X  X  0  X  1  1  1  1  0  1  1
 0  1  1  2  0  1  2  1  0 2X+1  2  1 2X+1  0  2  1  X 2X+1  2  1 2X+1  1  1  1  1 2X+1 X+2 2X+1  0  X 2X+1  0
 0  0 2X  0  0  0  0  0  0  0  0  0  0  X  X 2X  X  X  X  X 2X 2X 2X 2X 2X  0 2X  X  X  X 2X  0
 0  0  0  X  0  0  0  0  X 2X  X 2X  X 2X 2X  0  0  X 2X  0  X 2X  0  0  X 2X  0  X  X  0  0  0
 0  0  0  0  X  0  0  X 2X 2X  X  X  0 2X 2X 2X 2X 2X 2X  X  0  0  0  0  0  0  X  X  X  X  X  0
 0  0  0  0  0 2X  0 2X  X  0  X  X 2X 2X  X 2X  0  0  0  X 2X  0  X  0  X  X  X  0 2X 2X 2X  0
 0  0  0  0  0  0  X 2X  0 2X 2X  X  X 2X 2X  X 2X  X  X  X 2X 2X  X 2X  X  0  0 2X  0 2X 2X  0

generates a code of length 32 over Z3[X]/(X^2) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+38x^48+18x^50+168x^51+204x^53+372x^54+714x^56+572x^57+1692x^59+914x^60+3048x^62+1312x^63+3540x^65+1376x^66+2826x^68+1032x^69+960x^71+484x^72+120x^74+162x^75+96x^78+18x^81+12x^84+4x^87

The gray image is a linear code over GF(3) with n=96, k=9 and d=48.
This code was found by Heurico 1.16 in 2.39 seconds.