The generator matrix

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

generates a code of length 49 over Z3[X]/(X^3) who´s minimum homogenous weight is 93.

Homogenous weight enumerator: w(x)=1x^0+236x^93+570x^94+666x^95+948x^96+828x^97+660x^98+564x^99+468x^100+594x^101+568x^102+378x^103+12x^104+12x^105+12x^106+6x^107+8x^108+6x^111+6x^112+6x^113+6x^114+6x^115

The gray image is a linear code over GF(3) with n=441, k=8 and d=279.
This code was found by Heurico 1.16 in 0.117 seconds.