The generator matrix

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

generates a code of length 46 over Z3[X]/(X^3) who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+288x^87+402x^88+666x^89+1066x^90+756x^91+678x^92+642x^93+522x^94+576x^95+630x^96+264x^97+6x^98+16x^99+6x^101+6x^102+18x^105+12x^107+6x^108

The gray image is a linear code over GF(3) with n=414, k=8 and d=261.
This code was found by Heurico 1.16 in 0.104 seconds.