The generator matrix

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

generates a code of length 29 over Z3[X]/(X^3) who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+360x^50+312x^51+360x^52+2094x^53+2710x^54+2160x^55+7422x^56+7758x^57+7722x^58+13020x^59+8046x^60+2880x^61+2820x^62+716x^63+462x^65+126x^66+66x^68+12x^69+2x^72

The gray image is a linear code over GF(3) with n=261, k=10 and d=150.
This code was found by Heurico 1.16 in 41.3 seconds.