The generator matrix

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

generates a code of length 54 over Z3[X]/(X^2) who´s minimum homogenous weight is 103.

Homogenous weight enumerator: w(x)=1x^0+114x^103+136x^105+180x^106+24x^108+48x^109+18x^111+48x^112+60x^114+90x^115+6x^118+2x^132+2x^135

The gray image is a linear code over GF(3) with n=162, k=6 and d=103.
This code was found by Heurico 1.16 in 0.0229 seconds.