The generator matrix

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

generates a code of length 64 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 118.

Homogenous weight enumerator: w(x)=1x^0+744x^118+1374x^119+2500x^120+3750x^121+6600x^122+7826x^123+9456x^124+12942x^125+14744x^126+15210x^127+19038x^128+18828x^129+16938x^130+16476x^131+12280x^132+7620x^133+5280x^134+2682x^135+1380x^136+768x^137+146x^138+222x^139+162x^140+36x^141+60x^142+48x^143+6x^144+18x^145+6x^146+6x^148

The gray image is a code over GF(3) with n=576, k=11 and d=354.
This code was found by Heurico 1.16 in 115 seconds.