The generator matrix

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

generates a code of length 56 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 108.

Homogenous weight enumerator: w(x)=1x^0+112x^108+684x^110+462x^111+360x^113+216x^114+252x^116+92x^117+2x^126+6x^129

The gray image is a code over GF(3) with n=504, k=7 and d=324.
This code was found by Heurico 1.16 in 0.0665 seconds.