The generator matrix

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

generates a code of length 56 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 106.

Homogenous weight enumerator: w(x)=1x^0+828x^106+774x^107+1494x^108+2658x^109+1806x^110+1290x^111+2796x^112+1404x^113+1250x^114+2316x^115+774x^116+794x^117+924x^118+426x^119+108x^120+12x^121+4x^123+6x^124+18x^127

The gray image is a code over GF(3) with n=504, k=9 and d=318.
This code was found by Heurico 1.16 in 0.713 seconds.