The generator matrix

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

generates a code of length 96 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 186.

Homogenous weight enumerator: w(x)=1x^0+212x^186+216x^187+780x^188+1130x^189+504x^190+576x^191+712x^192+234x^193+432x^194+464x^195+192x^196+336x^197+336x^198+144x^199+144x^200+120x^201+14x^204+6x^205+4x^207+2x^216+2x^237

The gray image is a code over GF(3) with n=864, k=8 and d=558.
This code was found by Heurico 1.16 in 0.471 seconds.