The generator matrix

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

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+34x^51+126x^52+252x^53+58x^54+282x^55+198x^56+40x^57+246x^58+264x^59+42x^60+144x^61+144x^62+34x^63+132x^64+108x^65+26x^66+42x^67+6x^68+6x^69+2x^78

The gray image is a linear code over GF(3) with n=87, k=7 and d=51.
This code was found by Heurico 1.13 in 0.0152 seconds.