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

generates a code of length 55 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 101.

Homogenous weight enumerator: w(x)=1x^0+426x^101+252x^102+864x^104+444x^105+324x^106+1194x^107+2344x^108+1296x^109+3972x^110+4320x^111+1296x^112+1218x^113+234x^114+498x^116+230x^117+372x^119+144x^120+150x^122+42x^123+54x^125+6x^126+2x^153

The gray image is a code over GF(3) with n=495, k=9 and d=303.
This code was found by Heurico 1.16 in 17 seconds.