The generator matrix

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

generates a code of length 26 over Z3[X]/(X^3) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+64x^48+864x^50+96x^51+972x^53+26x^54+42x^57+108x^59+12x^60+2x^75

The gray image is a linear code over GF(3) with n=234, k=7 and d=144.
This code was found by Heurico 1.16 in 0.0149 seconds.