The generator matrix

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

generates a code of length 63 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 120.

Homogenous weight enumerator: w(x)=1x^0+788x^120+1200x^121+2070x^122+1754x^123+2082x^124+1578x^125+1600x^126+1584x^127+1848x^128+1328x^129+1284x^130+1020x^131+760x^132+492x^133+114x^134+148x^135+6x^137+20x^138+6x^140

The gray image is a code over GF(3) with n=567, k=9 and d=360.
This code was found by Heurico 1.16 in 0.671 seconds.