The generator matrix

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

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+126x^42+66x^44+244x^45+54x^46+78x^47+702x^48+216x^49+3096x^50+1124x^51+216x^52+114x^53+324x^54+48x^56+120x^57+8x^60+16x^63+6x^66+2x^69

The gray image is a linear code over GF(3) with n=225, k=8 and d=126.
This code was found by Heurico 1.16 in 0.0831 seconds.