The generator matrix

 1  0  1  1  1  1  1 X+3  1  1  1 2X  1  1  0  1 X+3  1  1  1  1  1  1 2X  1  1  1  1  1  1  1  1 X+3 2X  1  1  1  1  1
 0  1 2X+4  8 X+3 X+1 X+2  1 2X 2X+8  4  1 X+1 X+3  1 2X+4  1  8  4 X+2  0 2X 2X+8  1  0 2X  6 X+3 2X+4  4 2X+8  8  1  1  3 2X+6 2X+6 2X  0
 0  0  3  0  3  6  6  6  0  0  6  0  6  3  0  3  6  0  3  6  0  3  6  6  3  0  0  6  6  3  0  6  0  6  6  3  0  3  6
 0  0  0  6  3  3  6  0  6  3  0  3  6  0  6  3  6  0  6  0  3  6  3  3  6  0  6  0  0  3  0  3  3  6  3  3  0  0  3

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

Homogenous weight enumerator: w(x)=1x^0+248x^72+306x^74+1090x^75+792x^77+1840x^78+756x^80+1332x^81+72x^83+74x^84+18x^86+14x^87+10x^90+6x^93+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 0.0835 seconds.