The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  0  1  0  1  X  1
 0  X  0  0 2X 2X^2+X  X 2X^2+2X 2X 2X^2+X X^2 2X^2+2X 2X^2  0 X^2+2X  X  X  X 2X  X  0  X X^2+2X  X 2X^2+X
 0  0  X 2X  0 X^2+2X  X 2X^2+X 2X 2X^2+2X 2X^2  X  X 2X X^2 X^2+X  X  0 2X^2+X 2X^2+2X X^2+X 2X^2 2X^2+X  X 2X
 0  0  0 X^2  0  0 2X^2 X^2  0 2X^2 X^2 2X^2  0 2X^2 X^2  0 X^2 X^2 2X^2 X^2 2X^2 X^2  0 X^2 X^2
 0  0  0  0 X^2 2X^2 X^2  0 2X^2 2X^2  0  0 X^2 X^2 2X^2 2X^2 2X^2 2X^2 2X^2 X^2 X^2  0 2X^2  0 2X^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+354x^42+108x^44+1048x^45+324x^46+648x^47+2452x^48+1296x^49+5670x^50+3702x^51+1296x^52+864x^53+1434x^54+442x^57+30x^60+10x^63+4x^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 0.64 seconds.