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

generates a code of length 83 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 162.

Homogenous weight enumerator: w(x)=1x^0+80x^162+1944x^166+160x^168+2x^249

The gray image is a code over GF(3) with n=747, k=7 and d=486.
This code was found by Heurico 1.16 in 0.282 seconds.