The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  X 2X  6 X+3 2X+6  3 X+6 2X+3  0 X+3 2X  6 X+6 2X+6

generates a code of length 15 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+36x^29+186x^30+18x^32+2x^45

The gray image is a code over GF(3) with n=135, k=5 and d=87.
This code was found by Heurico 1.16 in 0.00165 seconds.