The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+204x^77+404x^78+948x^79+1452x^80+1868x^81+3504x^82+3636x^83+4414x^84+8976x^85+6516x^86+6912x^87+9264x^88+4584x^89+2728x^90+1926x^91+816x^92+284x^93+132x^94+228x^95+118x^96+30x^97+48x^98+38x^99+6x^100+12x^101

The gray image is a code over GF(3) with n=387, k=10 and d=231.
This code was found by Heurico 1.16 in 5.79 seconds.