The generator matrix

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

generates a code of length 43 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+726x^76+1368x^77+4664x^78+7032x^79+12738x^80+19158x^81+25554x^82+35796x^83+50760x^84+59376x^85+67674x^86+72010x^87+62430x^88+48690x^89+33074x^90+16752x^91+7998x^92+4170x^93+1062x^94+168x^95+90x^96+72x^97+24x^98+24x^99+12x^100+18x^101

The gray image is a code over GF(3) with n=387, k=12 and d=228.
This code was found by Heurico 1.16 in 283 seconds.