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

generates a code of length 54 over Z3[X]/(X^3) who´s minimum homogenous weight is 99.

Homogenous weight enumerator: w(x)=1x^0+682x^99+1086x^102+810x^104+1764x^105+972x^106+3240x^107+2546x^108+1944x^109+3240x^110+1908x^111+744x^114+466x^117+210x^120+48x^123+20x^126+2x^144

The gray image is a linear code over GF(3) with n=486, k=9 and d=297.
This code was found by Heurico 1.16 in 97 seconds.