The generator matrix

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

generates a code of length 43 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+738x^77+1060x^78+1854x^79+5166x^80+6764x^81+7788x^82+13926x^83+15588x^84+17790x^85+26142x^86+22510x^87+18996x^88+18972x^89+10386x^90+4356x^91+3318x^92+1152x^93+192x^94+192x^95+82x^96+48x^97+72x^98+48x^99+6x^100

The gray image is a code over GF(3) with n=387, k=11 and d=231.
This code was found by Heurico 1.16 in 85.6 seconds.