The generator matrix

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

generates a code of length 57 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 103.

Homogenous weight enumerator: w(x)=1x^0+702x^103+1194x^104+4370x^105+6834x^106+10260x^107+15460x^108+21396x^109+28512x^110+36270x^111+45828x^112+51612x^113+59576x^114+62394x^115+54024x^116+47336x^117+36234x^118+23550x^119+13896x^120+6924x^121+2760x^122+1592x^123+360x^124+102x^125+86x^126+96x^127+30x^128+18x^129+24x^130

The gray image is a code over GF(3) with n=513, k=12 and d=309.
This code was found by Heurico 1.16 in 463 seconds.