The generator matrix

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

generates a code of length 64 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 120.

Homogenous weight enumerator: w(x)=1x^0+510x^120+414x^121+216x^122+1582x^123+1044x^124+216x^125+2674x^126+2484x^127+486x^128+3374x^129+2394x^130+432x^131+2156x^132+954x^133+108x^134+438x^135+110x^138+72x^141+8x^144+6x^150+2x^153+2x^156

The gray image is a code over GF(3) with n=576, k=9 and d=360.
This code was found by Heurico 1.16 in 28.7 seconds.