The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+156x^106+354x^107+884x^108+558x^109+594x^110+678x^111+444x^112+336x^113+984x^114+402x^115+306x^116+438x^117+198x^118+180x^119+6x^120+24x^121+6x^122+4x^123+6x^125+2x^150

The gray image is a code over GF(3) with n=504, k=8 and d=318.
This code was found by Heurico 1.16 in 0.155 seconds.