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

generates a code of length 54 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 101.

Homogenous weight enumerator: w(x)=1x^0+204x^101+198x^102+564x^104+460x^105+648x^106+282x^107+1398x^108+1296x^109+528x^110+490x^111+150x^113+50x^114+96x^116+32x^117+96x^119+30x^120+24x^122+12x^123+2x^147

The gray image is a code over GF(3) with n=486, k=8 and d=303.
This code was found by Heurico 1.16 in 0.289 seconds.