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

generates a code of length 77 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 155.

Homogenous weight enumerator: w(x)=1x^0+54x^155+2x^156+18x^157+2x^159+4x^162

The gray image is a code over GF(3) with n=693, k=4 and d=465.
This code was found by Heurico 1.16 in 0.168 seconds.