The generator matrix

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

generates a code of length 61 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 112.

Homogenous weight enumerator: w(x)=1x^0+756x^112+1038x^113+2158x^114+4548x^115+5238x^116+7406x^117+11622x^118+11040x^119+13432x^120+19182x^121+16590x^122+19222x^123+21276x^124+13590x^125+11934x^126+9270x^127+4182x^128+1874x^129+1620x^130+624x^131+74x^132+150x^133+126x^134+18x^135+60x^136+60x^137+12x^138+42x^139+2x^141

The gray image is a code over GF(3) with n=549, k=11 and d=336.
This code was found by Heurico 1.16 in 94.6 seconds.