The generator matrix

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

generates a code of length 25 over Z3[X]/(X^3) who´s minimum homogenous weight is 47.

Homogenous weight enumerator: w(x)=1x^0+396x^47+398x^48+348x^50+600x^51+384x^53+44x^54+6x^56+10x^57

The gray image is a linear code over GF(3) with n=225, k=7 and d=141.
This code was found by Heurico 1.16 in 0.189 seconds.