The generator matrix

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

generates a code of length 25 over Z3[X]/(X^3) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+92x^42+18x^43+174x^44+366x^45+1062x^46+726x^47+2114x^48+4050x^49+1476x^50+3820x^51+4032x^52+978x^53+568x^54+72x^55+48x^56+58x^57+12x^60+10x^63+6x^66

The gray image is a linear code over GF(3) with n=225, k=9 and d=126.
This code was found by Heurico 1.16 in 0.367 seconds.