The generator matrix

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

generates a code of length 62 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 114.

Homogenous weight enumerator: w(x)=1x^0+182x^114+372x^115+804x^116+1328x^117+1608x^118+2460x^119+3540x^120+3660x^121+5190x^122+6356x^123+5868x^124+7182x^125+6514x^126+4680x^127+4110x^128+2620x^129+876x^130+492x^131+438x^132+252x^133+96x^134+82x^135+102x^136+54x^137+50x^138+72x^139+24x^140+26x^141+6x^142+4x^144

The gray image is a code over GF(3) with n=558, k=10 and d=342.
This code was found by Heurico 1.16 in 8.88 seconds.