The generator matrix

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

generates a code of length 56 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 104.

Homogenous weight enumerator: w(x)=1x^0+672x^104+734x^105+2052x^106+3744x^107+2590x^108+4824x^109+6648x^110+4064x^111+5814x^112+8568x^113+3890x^114+5616x^115+4920x^116+1646x^117+1548x^118+1068x^119+398x^120+72x^121+60x^122+38x^123+66x^125+2x^126+6x^128+2x^129+6x^131

The gray image is a code over GF(3) with n=504, k=10 and d=312.
This code was found by Heurico 1.16 in 6.21 seconds.