The generator matrix

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

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+60x^39+66x^40+184x^42+288x^43+278x^45+1566x^46+1892x^48+5304x^49+3516x^51+5166x^52+352x^54+648x^55+176x^57+84x^58+60x^60+26x^63+14x^66+2x^69

The gray image is a linear code over GF(3) with n=225, k=9 and d=117.
This code was found by Heurico 1.16 in 0.638 seconds.