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

generates a code of length 33 over Z3[X]/(X^3) who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+144x^51+122x^54+252x^57+162x^58+280x^60+162x^63+1944x^64+13392x^66+1296x^67+216x^69+972x^70+156x^72+288x^75+168x^78+126x^81+2x^87

The gray image is a linear code over GF(3) with n=297, k=9 and d=153.
This code was found by Heurico 1.16 in 1.34 seconds.