The generator matrix

 1  0  0  1  1  1  1  1 2X  1 2X^2+X  1  1  1 2X  X  1  1  1 X^2  1  1  0 2X^2+2X 2X^2
 0  1  0  1 2X^2+2X 2X^2+2  1 2X^2+2  1 2X+2  1 X+1 2X^2 2X^2+2X+1  1  1 X+1 X^2+2X 2X^2+2X  1 2X+2 X^2+2 2X^2+X  1  1
 0  0  1  2 2X^2+2X+1 2X^2+X+2  1 2X^2+X 2X^2+X+1 2X+1 2X^2+2X+2 2X 2X^2+2X+2 2X^2+2X+2 2X^2+X X^2+2X+2 2X^2+2X+1 X^2+2 2X+1 X^2+1 2X^2 2X  1 X^2+X+1 2X^2+X+2
 0  0  0 2X 2X^2+2X 2X 2X^2  0 X^2+2X X^2+X X^2+2X X^2 2X^2+X 2X^2 2X^2+X  X  X  0 2X^2 2X 2X^2+2X  X X^2+2X X^2+X 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+576x^42+522x^43+2610x^44+3914x^45+5832x^46+11268x^47+20136x^48+19278x^49+34020x^50+34698x^51+19620x^52+16020x^53+6460x^54+1404x^55+234x^56+528x^57+24x^60+2x^63

The gray image is a linear code over GF(3) with n=225, k=11 and d=126.
This code was found by Heurico 1.16 in 20.4 seconds.