The generator matrix

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

generates a code of length 29 over Z3[X]/(X^2) who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+768x^51+1270x^54+1518x^57+1494x^60+1058x^63+408x^66+42x^69+2x^72

The gray image is a linear code over GF(3) with n=87, k=8 and d=51.
This code was found by Heurico 1.16 in 347 seconds.