The generator matrix

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

generates a code of length 41 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+426x^76+360x^77+1712x^78+2382x^79+1554x^80+2224x^81+2922x^82+1674x^83+1914x^84+2178x^85+768x^86+1006x^87+498x^88+12x^89+10x^90+12x^91+12x^93+6x^94+6x^95+6x^96

The gray image is a code over GF(3) with n=369, k=9 and d=228.
This code was found by Heurico 1.16 in 0.49 seconds.