The generator matrix

 1  0  0  0  1  1  1 2X^2 2X^2+2X  1  1  1 X^2+2X X^2  1  1  1  1  1  1  1  1  1  1  1
 0  1  0  0 2X^2 X^2  X X^2+2X  1 X+1 X^2+X+1 2X^2+X+1  1  1 2X^2+2 2X+1 X^2+X 2X^2+2X+2  2 X^2+2X X^2+1 X+2 X^2+X X+1 X^2+1
 0  0  1  0 2X^2+2X+1 2X^2+X  2  1 2X^2+2X+1 2X^2+2X+2 X^2+1 X+1 2X^2+X+2 2X^2+2X+1 X^2+X+2 2X+2 X+1 X^2 2X^2+X+1  X 2X 2X^2+X X^2  0 X^2+2
 0  0  0  1 2X^2+2X+2 2X^2+X+2 2X+1  1 2X^2+2 X+1 X+2 2X^2+1 X^2+X+2 2X X^2+2X+2 X^2+X  0 X^2+1  X 2X^2+X+1 2X^2+1 2X+1 X^2+2 X^2+2X+2 X+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+1632x^42+2556x^43+6300x^44+10372x^45+23400x^46+26064x^47+63186x^48+72414x^49+78732x^50+107748x^51+73638x^52+36576x^53+19908x^54+7326x^55+1044x^56+498x^57+42x^60+4x^63

The gray image is a linear code over GF(3) with n=225, k=12 and d=126.
This code was found by Heurico 1.16 in 719 seconds.