The generator matrix

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

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+186x^96+180x^97+792x^98+498x^99+432x^100+1026x^101+404x^102+540x^103+1242x^104+386x^105+306x^106+342x^107+190x^108+28x^111+2x^114+4x^117+2x^141

The gray image is a code over GF(3) with n=459, k=8 and d=288.
This code was found by Heurico 1.16 in 0.13 seconds.