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

generates a code of length 32 over Z3[X]/(X^2) who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+86x^45+198x^48+332x^51+474x^54+612x^57+486x^58+762x^60+2916x^61+874x^63+5832x^64+868x^66+3888x^67+838x^69+716x^72+442x^75+218x^78+90x^81+40x^84+10x^87

The gray image is a linear code over GF(3) with n=96, k=9 and d=45.
This code was found by Heurico 1.16 in 3.8 seconds.