The generator matrix

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

generates a code of length 29 over Z3[X]/(X^2) who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+168x^52+282x^53+76x^54+234x^55+168x^56+72x^57+210x^58+264x^59+30x^60+174x^61+132x^62+52x^63+162x^64+102x^65+10x^66+24x^67+24x^68+2x^75

The gray image is a linear code over GF(3) with n=87, k=7 and d=52.
This code was found by Heurico 1.16 in 9.06 seconds.