The generator matrix

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

generates a code of length 49 over Z3[X]/(X^3) who´s minimum homogenous weight is 94.

Homogenous weight enumerator: w(x)=1x^0+1032x^94+468x^95+862x^96+972x^97+552x^98+352x^99+984x^100+414x^101+298x^102+546x^103+18x^104+12x^105+6x^106+6x^107+4x^108+6x^109+2x^111+6x^112+8x^114+12x^115

The gray image is a linear code over GF(3) with n=441, k=8 and d=282.
This code was found by Heurico 1.16 in 62.1 seconds.