The generator matrix

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

generates a code of length 47 over Z3[X]/(X^3) who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+448x^87+306x^88+792x^89+1536x^90+1530x^91+1512x^92+2454x^93+2160x^94+2376x^95+2494x^96+1530x^97+1152x^98+812x^99+306x^100+138x^102+82x^105+52x^108+2x^117

The gray image is a linear code over GF(3) with n=423, k=9 and d=261.
This code was found by Heurico 1.16 in 0.782 seconds.