The generator matrix

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

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+200x^42+186x^43+738x^44+1350x^45+2274x^46+3018x^47+5956x^48+8298x^49+11454x^50+10426x^51+8310x^52+3978x^53+1940x^54+300x^55+240x^56+278x^57+72x^58+12x^59+18x^60

The gray image is a linear code over GF(3) with n=225, k=10 and d=126.
This code was found by Heurico 1.16 in 2.95 seconds.