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

generates a code of length 65 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 130.

Homogenous weight enumerator: w(x)=1x^0+54x^130+14x^132+2x^135+8x^138+2x^144

The gray image is a code over GF(3) with n=585, k=4 and d=390.
This code was found by Heurico 1.16 in 0.0872 seconds.