The generator matrix

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

generates a code of length 26 over Z3[X]/(X^3) who´s minimum homogenous weight is 47.

Homogenous weight enumerator: w(x)=1x^0+306x^47+344x^48+1104x^50+1154x^51+2088x^53+1124x^54+360x^56+32x^57+30x^59+14x^60+2x^66+2x^69

The gray image is a linear code over GF(3) with n=234, k=8 and d=141.
This code was found by Heurico 1.16 in 50.9 seconds.