The generator matrix

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

generates a code of length 29 over Z3[X]/(X^3) who´s minimum homogenous weight is 53.

Homogenous weight enumerator: w(x)=1x^0+372x^53+344x^54+1092x^56+1160x^57+1926x^59+1116x^60+456x^62+24x^63+42x^65+26x^66+2x^75

The gray image is a linear code over GF(3) with n=261, k=8 and d=159.
This code was found by Heurico 1.16 in 36.1 seconds.