The generator matrix

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

generates a code of length 56 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 103.

Homogenous weight enumerator: w(x)=1x^0+96x^103+168x^104+320x^105+726x^106+1008x^107+600x^108+1380x^109+2244x^110+1668x^111+2118x^112+3090x^113+1376x^114+1932x^115+1584x^116+608x^117+474x^118+96x^119+14x^120+72x^121+54x^122+8x^123+6x^124+18x^125+4x^126+10x^129+2x^132+2x^135+4x^141

The gray image is a code over GF(3) with n=504, k=9 and d=309.
This code was found by Heurico 1.16 in 3.6 seconds.