The generator matrix

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

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+204x^112+360x^113+948x^114+1134x^115+2208x^116+2606x^117+3258x^118+3942x^119+5088x^120+5292x^121+6504x^122+6794x^123+5682x^124+5040x^125+4366x^126+2400x^127+1440x^128+700x^129+276x^130+270x^131+98x^132+150x^133+114x^134+32x^135+48x^136+36x^137+20x^138+24x^139+12x^140+2x^141

The gray image is a code over GF(3) with n=549, k=10 and d=336.
This code was found by Heurico 1.16 in 8.72 seconds.