The generator matrix

 1  0  1  1  1  1  1 X+3  1 2X  1  1  1  0  1  1  3  1  1  1 2X+3  1  1  1  1 2X  1  0  1  1  1  1  X  1  1  1  1  1  1  1  1  1 2X  1 2X+6  1  0  1  1  1  1  1  1  1  1 2X X+3  1  0  X  1
 0  1  1  8 X+3 X+2 2X+4  1 2X  1 2X+8 X+1  0  1  2  1  1 2X 2X+1 2X+2  1 2X+3 X+2 2X+4  3  1  8  1 X+3 2X+1 2X+2  3  1 2X+8 X+7  X  4 2X X+1  8 2X+3 2X+8  1 2X+6  1  2  1 2X  0  8  8 2X X+6 2X+7 X+3  1  1 X+4  1 2X+6  0
 0  0 2X  0  0  3  3  3  6  0  0  3 2X+6 2X+3 X+3 X+3 X+6 2X  X  X X+3 X+3 2X+3 2X  X 2X 2X+3 2X 2X+3  X X+6 X+6  X 2X  3 X+6 2X+3  3 2X+6  0 2X+6 2X+6  3  X X+3 X+6  0  6 X+6 2X+6  X X+6  0 2X+6 2X+3  3 X+6  X X+6  X  6
 0  0  0  6  0  0  3  0  0  0  3  6  0  0  3  3  3  0  0  6  6  6  3  3  6  0  3  3  6  0  3  3  0  3  6  0  6  3  6  6  6  0  3  0  3  0  6  3  3  0  6  0  6  3  6  3  6  3  0  0  6
 0  0  0  0  3  3  6  6  6  3  6  0  3  0  6  3  3  6  6  6  3  6  3  6  3  6  6  3  6  0  0  3  0  0  3  6  0  0  3  6  0  0  6  3  0  0  3  3  0  3  0  0  3  3  3  3  0  0  6  6  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+108x^111+126x^112+312x^113+738x^114+1512x^115+2034x^116+1924x^117+3210x^118+4836x^119+4636x^120+5040x^121+8136x^122+5286x^123+5892x^124+6474x^125+3158x^126+2658x^127+1344x^128+558x^129+384x^130+114x^131+178x^132+102x^133+60x^134+144x^135+18x^136+12x^137+26x^138+12x^139+6x^140+6x^141+2x^144+2x^150

The gray image is a code over GF(3) with n=549, k=10 and d=333.
This code was found by Heurico 1.16 in 9.37 seconds.