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
 0  3  0  0  0  0  0  0  0  0  3  6  3  3  3  3  3  3  3  3  6  0  0  3  3  6  3  0  0  0  3  0  6  3  6  3  6  3  6  0  6  0  3  0  3  0  3  0  0  3  6  6  6  6  0  3  3  0  0  6  6  6  3  6  6  6  0  3  6  0  3  6  0  3  6  6  6  6  6  6  6  0  0  0  0  3
 0  0  3  0  0  3  0  3  3  6  6  0  6  3  0  3  3  6  3  3  0  3  0  6  0  3  0  3  0  0  3  3  0  0  3  0  3  0  3  3  0  0  3  6  3  6  0  6  0  6  6  3  0  6  3  6  6  6  6  6  0  3  6  6  6  6  6  6  6  6  3  0  6  0  3  0  3  6  0  3  6  0  0  0  3  6
 0  0  0  3  0  6  3  6  3  6  0  3  6  6  6  6  3  3  0  3  6  3  3  3  6  0  0  0  6  6  3  6  3  6  6  3  3  3  3  0  0  6  0  3  0  0  0  3  0  6  6  6  0  0  3  0  3  0  3  0  0  3  0  0  3  3  0  6  3  6  6  6  6  3  0  3  0  6  6  6  6  0  0  3  6  6
 0  0  0  0  3  6  6  0  6  6  6  0  6  3  3  6  6  0  0  0  3  3  3  3  0  6  6  6  0  6  3  3  6  6  0  0  0  3  6  3  3  3  6  6  3  3  3  3  6  0  0  3  6  3  0  0  6  0  0  6  0  3  3  0  6  3  6  3  0  0  0  0  3  6  0  3  3  3  6  6  6  0  3  6  6  6

generates a code of length 86 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 165.

Homogenous weight enumerator: w(x)=1x^0+10x^165+40x^168+80x^171+1944x^172+80x^174+30x^177+2x^258

The gray image is a code over GF(3) with n=774, k=7 and d=495.
This code was found by Heurico 1.16 in 0.318 seconds.