The generator matrix

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

generates a code of length 52 over Z3[X]/(X^3) who´s minimum homogenous weight is 100.

Homogenous weight enumerator: w(x)=1x^0+132x^100+108x^101+34x^102+84x^103+1620x^104+36x^105+8x^108+84x^109+54x^110+24x^112+2x^156

The gray image is a linear code over GF(3) with n=468, k=7 and d=300.
This code was found by Heurico 1.16 in 26 seconds.