The generator matrix

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

generates a code of length 29 over Z3[X]/(X^3) who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+312x^51+216x^52+1462x^54+1296x^55+972x^56+4152x^57+2592x^58+1944x^59+4414x^60+1728x^61+500x^63+60x^66+22x^69+8x^72+4x^78

The gray image is a linear code over GF(3) with n=261, k=9 and d=153.
This code was found by Heurico 1.16 in 27.1 seconds.