The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  X  1  X  X  1  1  0  X  1
 0  X  0  0 2X^2  X 2X^2+X  X 2X^2 2X^2+X 2X^2+2X X^2+2X  0 2X^2+X X^2 2X 2X^2 X^2+2X 2X X^2+2X 2X^2  X 2X^2 2X^2+2X 2X^2
 0  0  X  0 2X^2+X 2X 2X X^2 2X X^2+X  X X^2+2X X^2  0 2X^2+2X X^2 2X^2 2X^2 X^2+X X^2+X 2X 2X^2+X X^2 2X X^2
 0  0  0  X 2X^2+2X X^2+X X^2+2X 2X^2+X 2X^2 2X^2+X  X X^2 2X^2+2X 2X^2+2X X^2+2X X^2+X 2X^2+X  0 2X^2+X  X 2X^2+X 2X^2  X 2X^2+X 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+160x^42+150x^43+408x^44+862x^45+552x^46+654x^47+3278x^48+1806x^49+1998x^50+5088x^51+1536x^52+1176x^53+1268x^54+222x^55+120x^56+250x^57+102x^58+18x^59+26x^60+6x^61+2x^63

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 0.608 seconds.