The generator matrix

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

generates a code of length 27 over Z3[X]/(X^2) who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+204x^50+72x^51+66x^53+116x^54+90x^56+36x^57+102x^59+24x^62+18x^63

The gray image is a linear code over GF(3) with n=81, k=6 and d=50.
This code was found by Heurico 1.16 in 0.626 seconds.