The generator matrix

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

generates a code of length 56 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 109.

Homogenous weight enumerator: w(x)=1x^0+414x^109+408x^110+10x^111+684x^112+198x^113+8x^114+198x^115+144x^116+2x^117+108x^118+6x^119+2x^120+4x^132

The gray image is a code over GF(3) with n=504, k=7 and d=327.
This code was found by Heurico 1.16 in 72.7 seconds.