The generator matrix

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

generates a code of length 43 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 79.

Homogenous weight enumerator: w(x)=1x^0+300x^79+438x^80+846x^81+858x^82+2148x^83+1558x^84+1956x^85+3084x^86+1972x^87+2214x^88+2256x^89+1080x^90+366x^91+264x^92+86x^93+96x^94+48x^95+30x^96+42x^97+24x^98+12x^99+2x^105+2x^108

The gray image is a code over GF(3) with n=387, k=9 and d=237.
This code was found by Heurico 1.16 in 26.9 seconds.