The generator matrix

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

generates a code of length 53 over Z3[X]/(X^3) who´s minimum homogenous weight is 101.

Homogenous weight enumerator: w(x)=1x^0+276x^101+508x^102+972x^103+762x^104+566x^105+792x^106+540x^107+446x^108+720x^109+498x^110+330x^111+96x^112+12x^113+6x^117+2x^120+12x^121+18x^122+4x^123

The gray image is a linear code over GF(3) with n=477, k=8 and d=303.
This code was found by Heurico 1.16 in 0.135 seconds.