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

generates a code of length 40 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+702x^72+54x^74+1152x^75+486x^76+324x^77+2724x^78+1944x^79+3564x^80+4212x^81+1944x^82+432x^83+1158x^84+678x^87+240x^90+66x^93+2x^108

The gray image is a code over GF(3) with n=360, k=9 and d=216.
This code was found by Heurico 1.16 in 28.3 seconds.