The generator matrix

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

generates a code of length 52 over Z3[X]/(X^3) who´s minimum homogenous weight is 98.

Homogenous weight enumerator: w(x)=1x^0+132x^98+168x^99+948x^100+528x^101+232x^102+1038x^103+492x^104+450x^105+1314x^106+480x^107+188x^108+402x^109+138x^110+2x^111+24x^112+12x^113+4x^114+6x^120+2x^132

The gray image is a linear code over GF(3) with n=468, k=8 and d=294.
This code was found by Heurico 1.16 in 0.135 seconds.