The generator matrix

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

generates a code of length 56 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 101.

Homogenous weight enumerator: w(x)=1x^0+576x^101+1420x^102+3948x^103+6408x^104+10670x^105+14982x^106+20952x^107+28340x^108+37014x^109+44148x^110+54384x^111+60324x^112+60564x^113+56652x^114+47940x^115+34818x^116+23418x^117+13140x^118+6546x^119+3116x^120+1410x^121+372x^122+82x^123+78x^124+66x^125+30x^126+12x^127+12x^128+6x^129+12x^131

The gray image is a code over GF(3) with n=504, k=12 and d=303.
This code was found by Heurico 1.16 in 391 seconds.