The generator matrix

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

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+586x^120+1314x^121+2268x^122+3342x^123+4038x^124+4728x^125+5090x^126+5310x^127+5742x^128+5770x^129+5064x^130+4464x^131+4174x^132+3126x^133+1962x^134+1014x^135+540x^136+246x^137+130x^138+30x^139+18x^140+50x^141+18x^142+6x^143+12x^144+6x^146

The gray image is a code over GF(3) with n=576, k=10 and d=360.
This code was found by Heurico 1.16 in 7.27 seconds.