The generator matrix

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

generates a code of length 52 over Z3[X]/(X^2) who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+66x^87+36x^89+164x^90+276x^92+364x^93+750x^95+588x^96+1398x^98+786x^99+2436x^101+1068x^102+2910x^104+1200x^105+2784x^107+1106x^108+1752x^110+566x^111+660x^113+298x^114+102x^116+148x^117+18x^119+100x^120+58x^123+36x^126+8x^129+4x^132

The gray image is a linear code over GF(3) with n=156, k=9 and d=87.
This code was found by Heurico 1.16 in 5.11 seconds.