The generator matrix

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

generates a code of length 64 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 123.

Homogenous weight enumerator: w(x)=1x^0+222x^123+768x^124+906x^125+746x^126+684x^127+612x^128+430x^129+504x^130+594x^131+378x^132+408x^133+156x^134+68x^135+42x^136+6x^141+12x^142+4x^144+12x^145+6x^147+2x^156

The gray image is a code over GF(3) with n=576, k=8 and d=369.
This code was found by Heurico 1.16 in 0.217 seconds.