The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X
 0 X^2  0  0  0  0  0  0  0  0 X^2 2X^2 2X^2 X^2 X^2 X^2 X^2 2X^2 X^2  0 X^2 2X^2 X^2 2X^2 X^2 2X^2 X^2 X^2  0
 0  0 X^2  0  0  0  0 X^2 2X^2 2X^2 2X^2  0  0 2X^2  0 2X^2 2X^2 2X^2 X^2 2X^2  0 X^2 2X^2 2X^2  0  0 2X^2  0 X^2
 0  0  0 X^2  0  0 X^2 2X^2  0 2X^2  0  0 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2  0  0 X^2 2X^2  0 2X^2 2X^2 X^2  0 X^2  0
 0  0  0  0 X^2  0 2X^2 2X^2 X^2  0 2X^2 2X^2 2X^2 X^2 2X^2 2X^2  0 2X^2 2X^2 X^2 2X^2 2X^2  0  0 X^2  0  0  0 2X^2
 0  0  0  0  0 X^2 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2 X^2 2X^2  0 2X^2 X^2  0  0  0 2X^2  0  0 2X^2  0 X^2 X^2  0 2X^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+90x^48+132x^51+84x^54+486x^56+90x^57+4374x^58+972x^59+84x^60+82x^63+80x^66+54x^69+22x^72+8x^75+2x^84

The gray image is a linear code over GF(3) with n=261, k=8 and d=144.
This code was found by Heurico 1.16 in 0.354 seconds.