The generator matrix

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

generates a code of length 26 over Z3[X]/(X^2) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+236x^48+200x^51+112x^54+160x^57+16x^60+4x^63

The gray image is a linear code over GF(3) with n=78, k=6 and d=48.
This code was found by Heurico 1.16 in 0.246 seconds.