The generator matrix

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

generates a code of length 54 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 96.

Homogenous weight enumerator: w(x)=1x^0+186x^96+36x^97+36x^98+692x^99+378x^100+522x^101+1880x^102+2268x^103+2250x^104+4884x^105+6354x^106+4338x^107+8182x^108+8208x^109+4176x^110+5946x^111+4374x^112+1800x^113+1700x^114+252x^115+410x^117+96x^120+14x^123+30x^126+12x^129+20x^132+2x^138+2x^147

The gray image is a code over GF(3) with n=486, k=10 and d=288.
This code was found by Heurico 1.16 in 8.6 seconds.