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

generates a code of length 52 over Z3[X]/(X^2) who´s minimum homogenous weight is 101.

Homogenous weight enumerator: w(x)=1x^0+258x^101+174x^102+138x^104+26x^108+48x^110+36x^111+24x^113+18x^119+6x^120

The gray image is a linear code over GF(3) with n=156, k=6 and d=101.
This code was found by Heurico 1.16 in 41.1 seconds.