The generator matrix

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

generates a code of length 56 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 104.

Homogenous weight enumerator: w(x)=1x^0+396x^104+1078x^105+1890x^106+2922x^107+4264x^108+4626x^109+5316x^110+5926x^111+5508x^112+6480x^113+6168x^114+4644x^115+3984x^116+2594x^117+1686x^118+780x^119+536x^120+72x^121+36x^122+68x^123+36x^124+6x^125+14x^126+6x^127+6x^128+6x^129

The gray image is a code over GF(3) with n=504, k=10 and d=312.
This code was found by Heurico 1.16 in 6.2 seconds.