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

generates a code of length 56 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 101.

Homogenous weight enumerator: w(x)=1x^0+702x^101+1242x^102+4140x^103+6528x^104+9686x^105+15402x^106+21786x^107+25634x^108+39270x^109+47688x^110+49886x^111+60408x^112+63870x^113+51522x^114+50166x^115+36630x^116+21210x^117+13752x^118+7062x^119+2794x^120+1386x^121+324x^122+76x^123+114x^124+84x^125+12x^126+42x^127+6x^128+18x^129

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 454 seconds.