The generator matrix

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

generates a code of length 56 over Z9[X]/(X^2+3,3X) 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 0.0678 seconds.