The generator matrix

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

generates a code of length 47 over Z3[X]/(X^2) who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+198x^85+306x^86+298x^87+378x^88+474x^89+322x^90+534x^91+408x^92+338x^93+372x^94+438x^95+296x^96+390x^97+372x^98+208x^99+270x^100+240x^101+160x^102+204x^103+156x^104+66x^105+78x^106+36x^107+12x^108+6x^109

The gray image is a linear code over GF(3) with n=141, k=8 and d=85.
This code was found by Heurico 1.16 in 0.578 seconds.