The generator matrix

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

generates a code of length 25 over Z3[X]/(X^3) who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+50x^39+24x^41+282x^42+72x^43+618x^44+396x^45+3654x^46+3228x^47+3838x^48+14040x^49+6294x^50+6722x^51+14130x^52+4296x^53+788x^54+180x^55+120x^56+214x^57+68x^60+30x^63+2x^66+2x^69

The gray image is a linear code over GF(3) with n=225, k=10 and d=117.
This code was found by Heurico 1.16 in 2.76 seconds.