The generator matrix

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

generates a code of length 51 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 93.

Homogenous weight enumerator: w(x)=1x^0+564x^93+378x^94+468x^95+2568x^96+2304x^97+2484x^98+4974x^99+4716x^100+5652x^101+7542x^102+7722x^103+6174x^104+6060x^105+3528x^106+1188x^107+1586x^108+306x^109+72x^110+522x^111+174x^114+54x^117+12x^120

The gray image is a code over GF(3) with n=459, k=10 and d=279.
This code was found by Heurico 1.16 in 22.2 seconds.