The generator matrix

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

generates a code of length 26 over Z3[X]/(X^2) who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+132x^39+30x^41+260x^42+90x^43+180x^44+766x^45+360x^46+540x^47+1760x^48+900x^49+1110x^50+2776x^51+1530x^52+1386x^53+3114x^54+1098x^55+864x^56+1522x^57+396x^58+264x^59+400x^60+142x^63+40x^66+20x^69+2x^75

The gray image is a linear code over GF(3) with n=78, k=9 and d=39.
This code was found by Heurico 1.16 in 2.5 seconds.