The generator matrix

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

generates a code of length 53 over Z3[X]/(X^2) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+462x^92+498x^93+1986x^95+1230x^96+3480x^98+2144x^99+4992x^101+3010x^102+6942x^104+3192x^105+7590x^107+3628x^108+6756x^110+3184x^111+4566x^113+1878x^114+1884x^116+680x^117+588x^119+214x^120+114x^122+18x^123+6x^125+6x^129

The gray image is a linear code over GF(3) with n=159, k=10 and d=92.
This code was found by Heurico 1.16 in 82.8 seconds.