The generator matrix

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

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+122x^42+24x^43+90x^44+284x^45+132x^46+144x^47+578x^48+312x^49+414x^50+926x^51+462x^52+396x^53+1048x^54+408x^55+342x^56+476x^57+120x^58+72x^59+134x^60+44x^63+26x^66+6x^69

The gray image is a linear code over GF(3) with n=78, k=8 and d=42.
This code was found by Heurico 1.16 in 0.249 seconds.