The generator matrix

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

generates a code of length 29 over Z3[X]/(X^3) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+122x^48+282x^50+224x^51+162x^52+408x^53+1290x^54+972x^55+1218x^56+4404x^57+1944x^58+1284x^59+4404x^60+1296x^61+942x^62+256x^63+240x^65+144x^66+48x^69+28x^72+10x^75+4x^78

The gray image is a linear code over GF(3) with n=261, k=9 and d=144.
This code was found by Heurico 1.16 in 0.821 seconds.