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

generates a code of length 53 over Z3[X]/(X^3) who´s minimum homogenous weight is 99.

Homogenous weight enumerator: w(x)=1x^0+316x^99+522x^102+486x^104+462x^105+2916x^106+972x^107+410x^108+186x^111+126x^114+102x^117+48x^120+6x^123+6x^126+2x^153

The gray image is a linear code over GF(3) with n=477, k=8 and d=297.
This code was found by Heurico 1.16 in 36.3 seconds.