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

generates a code of length 39 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+396x^72+108x^74+612x^75+810x^76+432x^77+1422x^78+1620x^79+432x^80+264x^81+252x^84+198x^87+12x^90+2x^108

The gray image is a code over GF(3) with n=351, k=8 and d=216.
This code was found by Heurico 1.16 in 0.205 seconds.