The generator matrix

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

generates a code of length 47 over Z3[X]/(X^3) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+522x^88+534x^89+1892x^90+2292x^91+1344x^92+2480x^93+2580x^94+1422x^95+1940x^96+1776x^97+840x^98+1194x^99+756x^100+60x^101+4x^102+6x^104+16x^105+12x^106+6x^108+6x^110

The gray image is a linear code over GF(3) with n=423, k=9 and d=264.
This code was found by Heurico 1.16 in 0.576 seconds.