The generator matrix

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

generates a code of length 64 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 120.

Homogenous weight enumerator: w(x)=1x^0+780x^120+1416x^121+1554x^122+3222x^123+4926x^124+3978x^125+5250x^126+6702x^127+3822x^128+5946x^129+6726x^130+3648x^131+3930x^132+3282x^133+1350x^134+1376x^135+690x^136+192x^137+108x^138+42x^139+18x^140+30x^141+18x^142+18x^143+6x^144+6x^145+6x^147+6x^148

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 8.2 seconds.