The generator matrix

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

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+132x^51+198x^52+504x^53+1380x^54+1188x^55+1728x^56+2946x^57+2862x^58+2808x^59+2940x^60+1584x^61+792x^62+478x^63+132x^66+6x^69+4x^72

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 0.441 seconds.