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

generates a code of length 52 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 101.

Homogenous weight enumerator: w(x)=1x^0+288x^101+124x^102+1512x^104+72x^105+44x^108+144x^110+2x^156

The gray image is a code over GF(3) with n=468, k=7 and d=303.
This code was found by Heurico 1.16 in 13.1 seconds.