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

generates a code of length 38 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+384x^72+600x^75+972x^77+78x^78+72x^81+66x^84+12x^87+2x^108

The gray image is a code over GF(3) with n=342, k=7 and d=216.
This code was found by Heurico 1.16 in 0.202 seconds.