The generator matrix

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

generates a code of length 54 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 102.

Homogenous weight enumerator: w(x)=1x^0+268x^102+252x^103+288x^104+1100x^105+540x^106+216x^107+982x^108+756x^109+324x^110+994x^111+396x^112+144x^113+268x^114+10x^117+14x^120+6x^126+2x^138

The gray image is a code over GF(3) with n=486, k=8 and d=306.
This code was found by Heurico 1.16 in 0.145 seconds.