The generator matrix

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

generates a code of length 62 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 115.

Homogenous weight enumerator: w(x)=1x^0+120x^115+198x^116+388x^117+888x^118+768x^119+854x^120+1650x^121+1338x^122+2104x^123+2640x^124+1722x^125+1896x^126+2262x^127+1062x^128+790x^129+600x^130+186x^131+10x^132+84x^133+42x^134+8x^135+18x^136+24x^137+10x^138+6x^140+8x^141+2x^150+2x^153+2x^156

The gray image is a code over GF(3) with n=558, k=9 and d=345.
This code was found by Heurico 1.16 in 25.9 seconds.