The generator matrix

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

generates a code of length 25 over Z3[X]/(X^3) who´s minimum homogenous weight is 43.

Homogenous weight enumerator: w(x)=1x^0+108x^43+636x^44+2026x^45+2094x^46+3444x^47+7206x^48+6198x^49+10254x^50+12934x^51+6048x^52+4530x^53+2800x^54+570x^55+84x^56+60x^57+48x^58+6x^59+2x^69

The gray image is a linear code over GF(3) with n=225, k=10 and d=129.
This code was found by Heurico 1.16 in 2.37 seconds.