The generator matrix

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

generates a code of length 40 over Z9[X]/(X^2+6,3X) who�s minimum homogenous weight is 79.

Homogenous weight enumerator: w(x)=1x^0+36x^79+162x^80+14x^81+18x^82+6x^84+6x^87

The gray image is a code over GF(3) with n=360, k=5 and d=237.
This code was found by Heurico 1.16 in 0.0142 seconds.