The generator matrix

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

generates a code of length 62 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 113.

Homogenous weight enumerator: w(x)=1x^0+966x^113+2148x^114+4296x^115+7812x^116+11020x^117+15618x^118+23640x^119+29240x^120+36822x^121+43098x^122+50796x^123+55446x^124+57588x^125+56192x^126+44838x^127+36654x^128+24298x^129+14946x^130+9234x^131+3648x^132+1908x^133+714x^134+212x^135+78x^136+96x^137+72x^138+36x^139+18x^140+6x^141

The gray image is a code over GF(3) with n=558, k=12 and d=339.
This code was found by Heurico 1.16 in 422 seconds.