The generator matrix

 1  0  1  1  1  1 X+3  1  1 2X  1  1  1  0  1  1  X  1  3 2X+3  1  1  1  1  1  1  1  1  1  1  1  1  1 X+6 2X+3  1  1  0  1  3  1  1 2X+3  0  1  1 2X+3  1  1 2X X+3 X+3 X+6  1  1  1  1  1  1  1 2X+6  1 2X  1
 0  1  1  8 X+3 X+2  1 2X 2X+8  1 2X+4 X+1  0  1 2X 2X+1  1 X+8  1  1 X+4  1  2 X+3 X+8 2X+2  0 2X+4 X+3 X+5  3 2X+8 2X+3  1  1  8 X+6  1 2X+4  1  2 2X+6  1  1 2X+8  6  1  3 2X+6  1  1  1  1 X+3  X  8 2X  8 X+2 X+2  1  4  1 X+1
 0  0 2X  0  3  3  3  0  3  3 2X+3 2X 2X+6 2X 2X+6  X X+3 X+3 X+3 X+6  X X+6 X+3 2X+3 X+6 X+3  6  3  6  6 2X 2X+3 2X 2X+6  X 2X+3 X+6  6  6 2X+6  X X+3 2X  6  6 2X+6 2X X+6 X+6  0 X+3  0 X+6 2X  0 2X+6 2X+6  3  3 X+6  3  3 2X+3 2X
 0  0  0  6  6  0  3  3  3  6  3  6  3  6  0  3  3  6  6  0  0  6  3  6  0  6  3  6  0  6  0  0  3  0  6  3  6  6  3  3  6  0  0  3  6  6  3  6  0  6  6  0  0  3  3  0  6  0  3  3  0  6  6  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+72x^120+192x^121+1308x^122+706x^123+900x^124+2334x^125+1238x^126+1404x^127+3432x^128+1526x^129+1188x^130+2586x^131+912x^132+588x^133+876x^134+102x^135+60x^136+78x^137+26x^138+24x^139+42x^140+14x^141+6x^142+12x^143+10x^144+12x^145+18x^146+8x^147+6x^149+2x^162

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 1.16 seconds.