The generator matrix

 1  0  1  1  1  1  1 X+3  1  1  1 2X  1  1  1  0  1  1  1 2X  1  1  1 X+3  1  1  1  1 X+6  1  1  6  1  1  1 2X+6  1  1  1  6  1  1  1  X  1  1  1 2X+6  1  1  1  1  1  1  1  1  1  1  1  1  6 2X  0 2X+6 X+6  X  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  1 2X+4  8 X+1 X+3 X+2  1 2X  4 2X+8  1  0 2X+4  8  1 2X X+1 X+2  1 X+3  4 2X+8  1  6 X+6 2X+7 2X+5  1 X+7  5  1 2X+6  7 X+5  1  6 2X+7  5  1 X+6 X+7 X+5  1 2X+3  7 2X+5  1  0  6 2X+4 2X+7  5  8 X+3 X+7 X+2 X+6 X+1 X+5  1  1  1  1  1  1 2X+6 2X+3  4  7 2X+8 2X+5  3  3  X  X 2X 2X+3  3  X 2X+6 2X+1 2X+1 X+4 X+4  1  1 2X+1 X+4  1  2  2 X+8 X+8  2 X+2
 0  0  3  0  6  3  6  6  6  0  3  3  6  6  3  6  3  0  0  0  0  3  6  3  3  6  0  0  0  3  6  3  0  6  3  6  6  6  3  6  3  0  0  0  0  3  6  3  3  0  0  3  0  6  6  6  3  0  3  6  0  6  3  0  6  3  3  6  6  0  0  3  0  6  3  6  0  3  3  0  6  3  6  0  6  3  0  0  3  6  0  6  3  6  3  3

generates a code of length 96 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 189.

Homogenous weight enumerator: w(x)=1x^0+210x^189+1836x^192+54x^195+78x^198+4x^207+2x^216+2x^234

The gray image is a code over GF(3) with n=864, k=7 and d=567.
This code was found by Heurico 1.16 in 0.419 seconds.