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  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  X  1  1  1  1
 0  3  0  0  0  0  0  0  0  0  6  3  3  3  3  6  3  3  3  3  3  0  3  3  6  0  0  6  0  6  3  6  3  0  6  0  3  0  0  3  6  6  6  0  3  0  6  6  0  6  6  6  0  6  6  3  6  3  3  0  3  3  6  0  0  3  3  0  6  3  6  6  0  3  6  0  3  6  6  6  6  0  0  0  0  0  3  3  6  6  0  3  0  3  3  6
 0  0  3  0  0  0  3  3  3  6  0  3  6  3  3  6  6  6  6  3  3  6  6  6  6  6  0  0  0  0  0  0  3  3  3  6  0  6  0  0  6  3  3  3  0  0  0  3  6  0  3  3  3  6  6  0  6  6  3  3  6  0  6  0  3  3  0  6  0  0  3  3  6  6  6  6  3  0  0  3  6  0  0  0  3  3  6  3  0  3  0  0  3  6  3  0
 0  0  0  3  0  3  6  3  3  0  0  3  3  3  6  0  0  3  0  3  6  3  0  3  0  3  0  6  6  0  6  6  6  6  3  0  0  3  6  6  3  3  6  6  0  6  6  6  0  0  3  6  3  0  3  6  3  6  0  0  6  3  6  3  0  0  3  6  3  3  0  0  6  6  6  6  0  3  3  0  6  0  0  3  6  3  6  0  0  0  3  6  6  3  6  3
 0  0  0  0  3  6  3  0  3  3  3  6  0  0  3  3  0  3  6  3  6  6  3  6  6  3  6  6  0  6  0  3  0  6  3  0  3  0  3  6  6  6  3  0  6  6  0  0  6  0  0  6  6  0  3  3  0  6  0  6  3  0  6  3  3  3  6  3  0  3  6  0  0  0  0  6  6  6  3  3  3  0  3  6  6  6  6  6  0  3  3  6  3  0  3  0

generates a code of length 96 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 186.

Homogenous weight enumerator: w(x)=1x^0+60x^186+40x^189+162x^190+1520x^192+324x^193+20x^195+40x^198+10x^201+8x^204+2x^285

The gray image is a code over GF(3) with n=864, k=7 and d=558.
This code was found by Heurico 1.16 in 0.55 seconds.