The generator matrix

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

generates a code of length 56 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 105.

Homogenous weight enumerator: w(x)=1x^0+714x^105+450x^106+576x^107+1796x^108+1422x^109+1260x^110+2722x^111+2052x^112+1620x^113+2620x^114+1494x^115+882x^116+1334x^117+414x^118+36x^119+140x^120+68x^123+62x^126+18x^129+2x^144

The gray image is a code over GF(3) with n=504, k=9 and d=315.
This code was found by Heurico 1.16 in 1.08 seconds.