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  1
 0  X  0  0 2X X+6 2X+6  X 2X  3  X 2X+3  6 2X+6  3  3  0 2X+6 2X+3 X+3 2X+3  3 X+6 X+6  X 2X+3 X+6  X X+3
 0  0  X 2X  3 2X+6 X+3  X 2X+6  6 X+3  0 X+6 X+3 2X 2X+6  X 2X+6 2X+3 2X  X  6  3 2X  3  3 X+3 X+3 X+6
 0  0  0  3  0  0  6  3  6  6  6  3  6  3  6  0  3  3  0  3  0  3  6  6  3  6  0  0  0

generates a code of length 29 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+228x^52+320x^54+336x^55+138x^57+4728x^58+52x^60+312x^61+138x^63+204x^64+78x^66+24x^67+2x^87

The gray image is a code over GF(3) with n=261, k=8 and d=156.
This code was found by Heurico 1.16 in 24.1 seconds.