The generator matrix

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

generates a code of length 27 over Z3[X]/(X^2) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+334x^48+588x^51+476x^54+394x^57+312x^60+72x^63+10x^66

The gray image is a linear code over GF(3) with n=81, k=7 and d=48.
This code was found by Heurico 1.16 in 0.0379 seconds.