The generator matrix

 1  0  1  1  1  1  1  1  3  1  1  0  1  1  1 2X+3  1 X+3  1 2X  1 X+3  1  1  1  1 2X  1 X+6  1  1  1  1 2X+6  1  0  1  3  1
 0  1  1  8  3  2  0 2X+1  1  7  8  1 X+1 X+3 X+2  1 X+2  1 2X+8  1 2X  1 2X+8 X+6  4 2X+5  1 2X+3  1 2X X+5 X+6 X+2  1 X+1  1 2X+5  0  6
 0  0 2X  6 X+6 X+3 2X+6  X  X 2X+3 2X+6 2X+6  6  0 2X+6 X+6  6  6 2X 2X  3 2X  0 2X+6  3  X  0 X+6  X 2X+3 X+3  X 2X X+3 2X 2X  3  X 2X+3

generates a code of length 39 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+288x^73+384x^74+742x^75+954x^76+540x^77+716x^78+972x^79+504x^80+704x^81+486x^82+180x^83+14x^84+36x^85+8x^87+18x^88+12x^92+2x^96

The gray image is a code over GF(3) with n=351, k=8 and d=219.
This code was found by Heurico 1.16 in 0.0639 seconds.