The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1  1  X  1  1  0  1  1  X  1  1  3  1
 0  X 2X  0 X+6 2X  0 X+6 2X  3 X+6 2X 2X+3  0 X+6 X+3 2X+3  3 2X  0 X+6 X+3  X 2X 2X+6  0 2X X+3 2X+6 X+6  3  6 X+3  3  3 X+3  6 X+6  3 2X+3  6 X+3 2X+6 2X 2X  X  X X+3  0 X+6 X+6  6  3  X
 0  0  3  0  0  0  0  6  3  0  3  6  6  0  0  3  0  0  3  6  6  3  3  3  6  3  3  3  0  3  0  6  0  6  3  3  6  6  3  3  0  0  3  6  3  3  0  0  6  0  0  3  6  0
 0  0  0  3  0  0  0  0  0  6  0  3  6  3  3  3  3  6  3  6  3  3  0  6  6  3  0  0  6  3  0  0  3  0  3  6  3  0  6  0  3  6  3  6  3  0  0  0  3  6  0  6  0  3
 0  0  0  0  6  0  3  6  3  3  0  3  6  0  6  0  6  0  6  6  0  0  0  0  3  6  6  6  0  6  6  6  6  6  0  0  3  0  6  0  3  3  3  6  6  3  6  3  6  6  0  0  6  3
 0  0  0  0  0  3  3  0  6  3  0  0  3  3  6  6  3  3  0  6  0  0  3  6  0  3  0  3  3  3  6  6  0  3  6  6  0  3  3  3  0  0  0  6  6  3  3  3  6  6  3  0  0  6

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+176x^96+84x^97+6x^98+344x^99+162x^100+60x^101+590x^102+222x^103+1212x^104+1568x^105+204x^106+4368x^107+2542x^108+282x^109+4368x^110+1868x^111+216x^112+192x^113+518x^114+144x^115+242x^117+96x^118+72x^120+48x^121+48x^123+24x^126+6x^129+12x^132+6x^135+2x^147

The gray image is a code over GF(3) with n=486, k=9 and d=288.
This code was found by Heurico 1.16 in 1.96 seconds.