The generator matrix

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

generates a code of length 26 over Z3[X]/(X^2) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+118x^42+294x^43+354x^44+514x^45+1212x^46+600x^47+1078x^48+1620x^49+876x^50+1736x^51+2106x^52+1200x^53+1872x^54+2262x^55+1056x^56+984x^57+1098x^58+240x^59+232x^60+156x^61+48x^62+12x^63+8x^66+2x^69+4x^72

The gray image is a linear code over GF(3) with n=78, k=9 and d=42.
This code was found by Heurico 1.16 in 2.14 seconds.