The generator matrix

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

generates a code of length 46 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+198x^82+378x^83+1758x^84+2802x^85+3852x^86+7744x^87+9084x^88+10944x^89+17452x^90+19854x^91+18756x^92+25230x^93+21414x^94+14454x^95+12328x^96+5760x^97+2610x^98+1708x^99+444x^100+36x^101+84x^102+174x^103+34x^105+42x^106+6x^109

The gray image is a code over GF(3) with n=414, k=11 and d=246.
This code was found by Heurico 1.16 in 40.9 seconds.