The generator matrix

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

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+486x^92+478x^93+1650x^94+4068x^95+4668x^96+6492x^97+9816x^98+11800x^99+14268x^100+21150x^101+20622x^102+18906x^103+22644x^104+14960x^105+11190x^106+7842x^107+3278x^108+1320x^109+864x^110+248x^111+90x^112+144x^113+46x^114+30x^115+54x^116+32x^117

The gray image is a code over GF(3) with n=459, k=11 and d=276.
This code was found by Heurico 1.16 in 46.5 seconds.