The generator matrix

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

generates a code of length 56 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 107.

Homogenous weight enumerator: w(x)=1x^0+240x^107+866x^108+522x^109+774x^110+980x^111+462x^112+402x^113+754x^114+438x^115+480x^116+526x^117+24x^118+36x^119+14x^120+12x^121+6x^125+2x^126+6x^128+14x^129+2x^132

The gray image is a code over GF(3) with n=504, k=8 and d=321.
This code was found by Heurico 1.16 in 0.15 seconds.