The generator matrix

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

generates a code of length 52 over Z3[X]/(X^2) who´s minimum homogenous weight is 100.

Homogenous weight enumerator: w(x)=1x^0+120x^100+150x^101+46x^102+102x^103+114x^104+8x^105+54x^106+12x^107+2x^108+6x^109+18x^110+20x^111+24x^112+18x^113+4x^114+6x^115+12x^116+6x^118+6x^121

The gray image is a linear code over GF(3) with n=156, k=6 and d=100.
This code was found by Heurico 1.13 in 0.0302 seconds.