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

generates a code of length 53 over Z3[X]/(X^2) who´s minimum homogenous weight is 102.

Homogenous weight enumerator: w(x)=1x^0+198x^102+312x^105+110x^108+36x^111+24x^114+24x^117+18x^120+6x^123

The gray image is a linear code over GF(3) with n=159, k=6 and d=102.
This code was found by Heurico 1.16 in 0.0206 seconds.