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

generates a code of length 55 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 102.

Homogenous weight enumerator: w(x)=1x^0+218x^102+54x^104+414x^105+324x^107+984x^108+2106x^110+1396x^111+432x^113+262x^114+188x^117+112x^120+62x^123+4x^126+2x^138+2x^153

The gray image is a code over GF(3) with n=495, k=8 and d=306.
This code was found by Heurico 1.16 in 0.276 seconds.