The generator matrix

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

generates a code of length 49 over Z3[X]/(X^3) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+516x^92+658x^93+1848x^94+2268x^95+1202x^96+2646x^97+2868x^98+1094x^99+1950x^100+1614x^101+818x^102+1110x^103+822x^104+188x^105+42x^106+6x^107+6x^109+6x^110+6x^111+6x^112+2x^114+6x^115

The gray image is a linear code over GF(3) with n=441, k=9 and d=276.
This code was found by Heurico 1.16 in 0.604 seconds.