The generator matrix

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

generates a code of length 53 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 96.

Homogenous weight enumerator: w(x)=1x^0+510x^96+648x^97+1512x^98+3988x^99+5034x^100+6558x^101+10276x^102+12828x^103+14136x^104+18950x^105+20778x^106+19890x^107+20110x^108+16482x^109+10050x^110+8190x^111+3744x^112+1674x^113+1180x^114+210x^115+108x^116+172x^117+30x^118+6x^119+38x^120+24x^121+12x^122+6x^123+2x^126

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 52.4 seconds.