The generator matrix

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

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+64x^111+12x^112+168x^113+330x^114+456x^115+564x^116+804x^117+2070x^118+2238x^119+1882x^120+5856x^121+4932x^122+3568x^123+9846x^124+6630x^125+3532x^126+7644x^127+3570x^128+1736x^129+1692x^130+720x^131+288x^132+120x^133+96x^134+86x^135+6x^136+24x^137+26x^138+12x^140+18x^141+30x^144+14x^147+8x^150+2x^153+4x^156

The gray image is a code over GF(3) with n=558, k=10 and d=333.
This code was found by Heurico 1.16 in 9.45 seconds.