The generator matrix

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

generates a code of length 54 over Z3[X]/(X^2) who´s minimum homogenous weight is 105.

Homogenous weight enumerator: w(x)=1x^0+354x^105+212x^108+54x^111+48x^114+30x^117+30x^123

The gray image is a linear code over GF(3) with n=162, k=6 and d=105.
This code was found by Heurico 1.16 in 2.33 seconds.