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

generates a code of length 64 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 123.

Homogenous weight enumerator: w(x)=1x^0+90x^123+222x^126+1458x^128+324x^129+54x^132+18x^135+18x^141+2x^189

The gray image is a code over GF(3) with n=576, k=7 and d=369.
This code was found by Heurico 1.16 in 0.192 seconds.