The generator matrix

 1  0  1  1  1  1  1 2X^2  1  1 2X^2+X  1  1 2X^2+X  0  1  1  1  1  1  1  1  1  X  X
 0  1  1  2 2X^2+2X+1 2X^2 2X^2+2  1 2X+1 2X^2+X+2  1 2X^2+2X 2X^2+X+2  1  1 X+1 2X X+1 2X 2X+2 X+1  X  2  1  0
 0  0 2X  0  0 2X^2+X 2X^2+X 2X^2+X  X 2X^2+2X 2X^2 2X^2+X X^2 2X^2+2X X^2+2X 2X 2X^2  0 2X^2+2X 2X^2+2X 2X^2  X 2X^2 X^2+X X^2+2X
 0  0  0 X^2  0 2X^2 X^2 X^2 X^2  0  0 2X^2 2X^2  0 X^2 2X^2 2X^2 X^2 X^2 2X^2 X^2 X^2  0 2X^2  0
 0  0  0  0 2X^2  0  0 2X^2 2X^2 2X^2 X^2 X^2 X^2 2X^2  0 2X^2 X^2 2X^2  0  0 X^2  0 2X^2  0 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+364x^42+72x^43+594x^44+1538x^45+2520x^46+3564x^47+5728x^48+9504x^49+8586x^50+9304x^51+9594x^52+4752x^53+2212x^54+180x^55+478x^57+52x^60+2x^63+4x^66

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 13.7 seconds.