The generator matrix

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

generates a code of length 51 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 96.

Homogenous weight enumerator: w(x)=1x^0+494x^96+822x^97+1746x^98+2386x^99+1506x^100+2346x^101+2392x^102+1290x^103+1800x^104+1802x^105+954x^106+978x^107+754x^108+288x^109+78x^110+20x^111+12x^113+2x^114+6x^116+6x^117

The gray image is a code over GF(3) with n=459, k=9 and d=288.
This code was found by Heurico 1.16 in 0.637 seconds.