The generator matrix

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

generates a code of length 63 over Z9[X]/(X^2+6,3X) 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 0.471 seconds.