The generator matrix

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

generates a code of length 53 over Z3[X]/(X^3) who´s minimum homogenous weight is 100.

Homogenous weight enumerator: w(x)=1x^0+696x^100+732x^101+1442x^102+3054x^103+1458x^104+1494x^105+2598x^106+1458x^107+1522x^108+2334x^109+756x^110+736x^111+1008x^112+282x^113+48x^114+24x^115+12x^116+16x^117+6x^118+6x^120

The gray image is a linear code over GF(3) with n=477, k=9 and d=300.
This code was found by Heurico 1.16 in 0.676 seconds.