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

generates a code of length 66 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 131.

Homogenous weight enumerator: w(x)=1x^0+48x^131+174x^132+8x^135+4x^138+6x^140+2x^174

The gray image is a code over GF(3) with n=594, k=5 and d=393.
This code was found by Heurico 1.16 in 0.0922 seconds.