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

generates a code of length 77 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 153.

Homogenous weight enumerator: w(x)=1x^0+174x^153+486x^154+54x^156+8x^162+6x^180

The gray image is a code over GF(3) with n=693, k=6 and d=459.
This code was found by Heurico 1.16 in 0.302 seconds.