The generator matrix

 1  0  0  1  1  1  1  1  1  6  1  1 X+3  1  1 X+6  1 X+6  1  1  3  1  X  1  1  1  1  1 2X+3  3  1  1 X+3 2X+6  1  1  1  1  1
 0  1  0  3 X+3 2X+4  8 2X+1 X+1  1 2X+2 2X+8  1 2X+3 2X  1  2  0 X+6  7  1 X+4  1  6  2 2X+4 X+5 X+3  1  1 X+8 2X  1 X+6  1  1 X+2 X+1  3
 0  0  1 2X+4 2X+2 2X+5  8 2X+7  6 X+7 X+3 X+1 2X+8 2X+1 2X+6 X+7 X+4  1  2 X+6 2X X+7 X+2  X 2X+2 X+8  4 2X+3  3 X+8 2X+8  5  4  1  6  5 2X+7 2X X+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+302x^72+486x^73+1896x^74+1526x^75+1794x^76+3258x^77+2172x^78+1686x^79+2664x^80+1394x^81+1032x^82+1080x^83+334x^84+12x^85+6x^86+12x^88+6x^89+16x^90+6x^93

The gray image is a code over GF(3) with n=351, k=9 and d=216.
This code was found by Heurico 1.16 in 0.381 seconds.