The generator matrix

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

generates a code of length 61 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 111.

Homogenous weight enumerator: w(x)=1x^0+900x^111+1812x^112+4860x^113+7734x^114+11328x^115+15210x^116+21704x^117+29328x^118+34494x^119+46854x^120+52122x^121+53970x^122+60242x^123+55038x^124+44526x^125+37184x^126+24648x^127+14856x^128+7924x^129+3864x^130+1572x^131+808x^132+162x^133+96x^134+76x^135+60x^136+24x^137+38x^138+6x^140

The gray image is a code over GF(3) with n=549, k=12 and d=333.
This code was found by Heurico 1.16 in 413 seconds.