The generator matrix

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

generates a code of length 51 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+1674x^92+2900x^93+5058x^94+10836x^95+13356x^96+17814x^97+30774x^98+35962x^99+43446x^100+62820x^101+60408x^102+60264x^103+63918x^104+47044x^105+30390x^106+25380x^107+10648x^108+4734x^109+2712x^110+934x^111+90x^112+126x^113+44x^114+36x^115+42x^116+18x^117+6x^118+6x^119

The gray image is a code over GF(3) with n=459, k=12 and d=276.
This code was found by Heurico 1.16 in 352 seconds.