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

generates a code of length 62 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 111.

Homogenous weight enumerator: w(x)=1x^0+110x^111+30x^112+54x^113+174x^114+192x^115+192x^116+340x^117+228x^118+186x^119+1562x^120+186x^121+1674x^122+4662x^123+156x^124+3180x^125+4656x^126+282x^127+276x^128+446x^129+204x^130+216x^131+248x^132+84x^133+30x^134+80x^135+84x^136+24x^137+26x^138+12x^139+44x^141+18x^144+14x^147+2x^150+6x^153+2x^156+2x^171

The gray image is a code over GF(3) with n=558, k=9 and d=333.
This code was found by Heurico 1.16 in 2.24 seconds.