The generator matrix

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

generates a code of length 63 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 121.

Homogenous weight enumerator: w(x)=1x^0+474x^121+600x^122+598x^123+978x^124+732x^125+462x^126+576x^127+558x^128+346x^129+492x^130+360x^131+116x^132+222x^133+6x^134+8x^135+6x^138+12x^140+6x^142+2x^147+6x^148

The gray image is a code over GF(3) with n=567, k=8 and d=363.
This code was found by Heurico 1.16 in 0.472 seconds.