The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  6  1  X  1  1  1  X  1  1  1  1  X  1  1  1  1  1  1  1
 0  X  0  0 2X X+6 2X+6  X 2X X+6  6  0 X+6 2X+6  3 2X 2X X+6 2X X+6 2X+3 X+3  X 2X+6  X  3  6  0  X X+6  3 X+6  0 2X+3 2X+3 X+3 X+6 2X  6  6  3 2X+3  X  X  3 2X+6  6 2X 2X 2X+3  X  0 X+3 X+6  6 2X+3 X+3 2X+6 2X+6  0  6
 0  0  X 2X  0 2X+3 X+3  X 2X+3 2X+6  X  6 X+3 X+3 2X  6 2X+6  6 X+6 2X+6 2X 2X  X  6  3 2X+3  3 X+3  6  X  3 2X+3 X+6 X+6  6  3 X+3  6  6  X 2X+3  X  X  0 2X+6  6 2X+3 2X+3 2X+3 2X  X  X  3  0 X+3  3 2X 2X+3  X  0 2X
 0  0  0  3  0  0  6  0  0  3  6  3  6  3  6  0  6  6  6  6  0  0  0  6  3  6  0  0  0  3  6  3  6  3  3  3  3  3  0  0  0  3  6  6  3  0  0  3  6  0  6  0  3  0  3  3  0  6  3  3  6
 0  0  0  0  3  6  0  3  6  0  6  3  0  0  0  6  0  6  6  6  0  3  0  3  3  3  6  6  6  3  0  6  3  3  6  6  0  3  3  0  3  6  6  3  0  0  6  3  6  3  3  3  3  0  6  0  0  0  0  3  0

generates a code of length 61 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 111.

Homogenous weight enumerator: w(x)=1x^0+88x^111+78x^112+420x^113+274x^114+162x^115+444x^116+356x^117+1050x^118+798x^119+1320x^120+3606x^121+2556x^122+2328x^123+3498x^124+900x^125+288x^126+162x^127+336x^128+244x^129+114x^130+204x^131+124x^132+48x^133+114x^134+42x^135+12x^136+54x^137+22x^138+18x^139+6x^140+8x^141+6x^144+2x^168

The gray image is a code over GF(3) with n=549, k=9 and d=333.
This code was found by Heurico 1.16 in 1.91 seconds.