The generator matrix

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

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+234x^100+432x^101+510x^102+474x^103+1008x^104+400x^105+522x^106+702x^107+530x^108+516x^109+648x^110+228x^111+174x^112+126x^113+28x^114+18x^115+6x^118+2x^123+2x^150

The gray image is a linear code over GF(3) with n=477, k=8 and d=300.
This code was found by Heurico 1.16 in 19.7 seconds.