The generator matrix

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

generates a code of length 47 over Z3[X]/(X^3) who´s minimum homogenous weight is 94.

Homogenous weight enumerator: w(x)=1x^0+54x^94+14x^96+10x^99+2x^102

The gray image is a linear code over GF(3) with n=423, k=4 and d=282.
This code was found by Heurico 1.16 in 0.0249 seconds.