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  X  1  X  1
 0  X 2X  0 X+6 2X X+6 2X+3  0  3  0  3 X+6 X+3  3 2X 2X+6 X+6  X  3  X  6  X 2X 2X+6 2X+6 2X+6  0  0  3  3 X+6 X+6 X+3 X+3 X+6 X+3 X+6  6
 0  0  3  0  3  0  6  6  3  6  3  6  6  0  3  0  6  3  3  0  6  6  0  3  0  3  6  0  3  3  0  6  3  0  6  0  3  3  0
 0  0  0  3  6  3  3  6  6  3  0  6  6  6  3  6  3  0  3  6  0  0  3  6  0  3  0  6  3  0  0  0  3  0  3  6  3  0  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+12x^72+192x^74+136x^75+360x^77+982x^78+360x^80+12x^81+24x^83+60x^84+36x^86+8x^87+2x^90+2x^111

The gray image is a code over GF(3) with n=351, k=7 and d=216.
This code was found by Heurico 1.16 in 0.034 seconds.