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

generates a code of length 43 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+78x^87+2x^90

The gray image is a code over GF(3) with n=387, k=4 and d=261.
This code was found by Heurico 1.16 in 0.0184 seconds.