The generator matrix

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

generates a code of length 29 over Z3[X]/(X^2) who´s minimum homogenous weight is 47.

Homogenous weight enumerator: w(x)=1x^0+132x^47+276x^48+852x^50+654x^51+1584x^53+878x^54+3084x^56+1694x^57+3678x^59+1586x^60+2736x^62+926x^63+942x^65+452x^66+114x^68+74x^69+2x^72+8x^75+8x^78+2x^81

The gray image is a linear code over GF(3) with n=87, k=9 and d=47.
This code was found by Heurico 1.16 in 45.9 seconds.