The generator matrix

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

generates a code of length 26 over Z3[X]/(X^2) who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+156x^46+234x^47+70x^48+222x^49+252x^50+66x^51+240x^52+222x^53+60x^54+186x^55+144x^56+38x^57+156x^58+108x^59+4x^60+12x^61+12x^62+2x^63+2x^69

The gray image is a linear code over GF(3) with n=78, k=7 and d=46.
This code was found by Heurico 1.13 in 0.564 seconds.