The generator matrix

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

generates a code of length 26 over Z3[X]/(X^2) who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+200x^45+392x^48+558x^51+678x^54+266x^57+54x^60+28x^63+8x^66+2x^72

The gray image is a linear code over GF(3) with n=78, k=7 and d=45.
This code was found by Heurico 1.16 in 0.302 seconds.