The generator matrix

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

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+260x^51+376x^54+570x^57+494x^60+362x^63+90x^66+20x^69+8x^72+6x^75

The gray image is a linear code over GF(3) with n=87, k=7 and d=51.
This code was found by Heurico 1.16 in 0.0469 seconds.