The generator matrix

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

generates a code of length 64 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 122.

Homogenous weight enumerator: w(x)=1x^0+246x^122+234x^123+738x^124+546x^125+674x^126+606x^127+702x^128+660x^129+408x^130+546x^131+448x^132+468x^133+216x^134+42x^136+6x^139+12x^143+4x^147+2x^150+2x^165

The gray image is a code over GF(3) with n=576, k=8 and d=366.
This code was found by Heurico 1.16 in 9.05 seconds.