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

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+852x^120+1440x^121+1746x^122+3372x^123+4014x^124+3924x^125+5538x^126+6534x^127+4662x^128+5850x^129+6174x^130+4194x^131+3648x^132+3114x^133+1314x^134+1598x^135+594x^136+198x^137+174x^138+72x^141+36x^144

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 8.84 seconds.