The generator matrix

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

generates a code of length 25 over Z3[X]/(X^2) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+58x^36+168x^39+18x^40+230x^42+180x^43+254x^45+720x^46+274x^48+1440x^49+376x^51+1440x^52+294x^54+576x^55+298x^57+142x^60+66x^63+16x^66+8x^69+2x^72

The gray image is a linear code over GF(3) with n=75, k=8 and d=36.
This code was found by Heurico 1.16 in 0.299 seconds.