The generator matrix

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

generates a code of length 26 over Z3[X]/(X^2) who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+42x^49+60x^50+10x^51+36x^52+36x^53+8x^54+18x^55+6x^57+12x^58+12x^59+2x^60

The gray image is a linear code over GF(3) with n=78, k=5 and d=49.
This code was found by Heurico 1.13 in 0.0991 seconds.