The generator matrix

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

generates a code of length 41 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+644x^72+1122x^73+4200x^74+6680x^75+11658x^76+18138x^77+25982x^78+36954x^79+48984x^80+63796x^81+67860x^82+71436x^83+65612x^84+48354x^85+31746x^86+16454x^87+7422x^88+3306x^89+782x^90+102x^91+54x^92+104x^93+18x^94+12x^95+8x^96+12x^97

The gray image is a code over GF(3) with n=369, k=12 and d=216.
This code was found by Heurico 1.16 in 268 seconds.