The generator matrix

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

generates a code of length 26 over Z3[X]/(X^2) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+142x^33+414x^36+720x^39+1152x^42+1818x^45+7072x^48+20676x^51+20780x^54+2706x^57+1820x^60+1002x^63+516x^66+186x^69+42x^72+2x^75

The gray image is a linear code over GF(3) with n=78, k=10 and d=33.
This code was found by Heurico 1.16 in 19.1 seconds.