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

generates a code of length 88 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 168.

Homogenous weight enumerator: w(x)=1x^0+20x^168+30x^171+50x^174+1944x^176+70x^177+50x^180+20x^183+2x^264

The gray image is a code over GF(3) with n=792, k=7 and d=504.
This code was found by Heurico 1.16 in 0.342 seconds.