The generator matrix

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

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+668x^45+1302x^48+1518x^51+1642x^54+1110x^57+300x^60+20x^63

The gray image is a linear code over GF(3) with n=78, k=8 and d=45.
This code was found by Heurico 1.16 in 0.36 seconds.