The generator matrix

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

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+156x^48+66x^49+96x^50+68x^51+54x^52+36x^53+96x^54+24x^55+24x^56+42x^57+12x^58+40x^60+6x^61+6x^62+2x^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 0.147 seconds.