The generator matrix

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

generates a code of length 47 over Z3[X]/(X^3) who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+72x^85+96x^86+414x^87+432x^88+366x^89+1640x^90+1134x^91+570x^92+4468x^93+1872x^94+768x^95+4430x^96+1536x^97+510x^98+920x^99+246x^100+96x^101+8x^102+36x^103+18x^104+4x^105+12x^106+6x^107+4x^108+6x^109+2x^111+10x^114+4x^120+2x^123

The gray image is a linear code over GF(3) with n=423, k=9 and d=255.
This code was found by Heurico 1.16 in 0.819 seconds.