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

generates a code of length 44 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+16x^87+210x^88+8x^90+6x^97+2x^105

The gray image is a code over GF(3) with n=396, k=5 and d=261.
This code was found by Heurico 1.16 in 0.02 seconds.