The generator matrix

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

generates a code of length 53 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 96.

Homogenous weight enumerator: w(x)=1x^0+340x^96+720x^97+2112x^98+3786x^99+4410x^100+7962x^101+9618x^102+9696x^103+18864x^104+17604x^105+15432x^106+26436x^107+19448x^108+13578x^109+12786x^110+7798x^111+2952x^112+2154x^113+752x^114+258x^115+90x^116+162x^117+66x^118+60x^119+14x^120+24x^121+6x^122+12x^123+6x^124

The gray image is a code over GF(3) with n=477, k=11 and d=288.
This code was found by Heurico 1.16 in 48.8 seconds.