The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+636x^96+648x^97+1392x^98+2872x^99+1674x^100+1668x^101+2928x^102+1626x^103+1212x^104+1932x^105+870x^106+858x^107+1088x^108+192x^109+36x^110+12x^111+6x^112+6x^113+6x^114+6x^115+12x^116+2x^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 0.634 seconds.