The generator matrix

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

generates a code of length 39 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+498x^68+982x^69+4044x^70+6150x^71+11254x^72+16836x^73+26550x^74+33360x^75+51402x^76+67590x^77+66524x^78+74616x^79+69792x^80+45070x^81+31026x^82+15438x^83+6760x^84+2724x^85+546x^86+48x^87+108x^88+54x^89+24x^90+36x^91+6x^92+2x^93

The gray image is a code over GF(3) with n=351, k=12 and d=204.
This code was found by Heurico 1.16 in 252 seconds.