The generator matrix

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

generates a code of length 41 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+546x^73+1344x^74+2150x^75+4470x^76+5322x^77+8186x^78+13944x^79+16158x^80+18748x^81+24252x^82+25344x^83+20578x^84+17646x^85+9144x^86+4882x^87+3060x^88+798x^89+124x^90+186x^91+186x^92+6x^93+42x^94+24x^95+6x^97

The gray image is a code over GF(3) with n=369, k=11 and d=219.
This code was found by Heurico 1.16 in 39 seconds.