The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  1  1  1  1  1  X
 0  X 2X  0 X+3 2X 2X+6  6 X+3 X+3  0 2X X+3  0 2X 2X+6  3 X+6 X+3  0  6 X+6  0 X+3 2X 2X+6 2X+6 2X+3  6 X+6  6 2X X+6 X+6  6 2X 2X+6 X+6 2X+6  6  0 X+3  X 2X+3  3  X  3  6 2X+6 2X+6 2X X+6  6 X+3 2X  0 X+3  0  6 X+6  X  X  3 X+3
 0  0  6  0  0  0  3  0  3  6  0  6  6  6  0  6  6  0  3  3  6  0  3  6  6  0  3  3  3  6  6  0  6  3  3  0  6  3  3  3  6  3  0  3  0  6  0  6  3  0  6  3  6  0  6  0  0  0  3  0  0  3  0  3
 0  0  0  6  0  6  3  3  3  6  0  3  0  3  3  3  0  3  0  0  3  6  3  0  6  0  0  6  6  3  6  0  6  6  6  6  6  0  0  3  6  6  6  3  3  0  3  0  3  3  3  6  0  3  6  6  0  6  3  6  6  0  0  3
 0  0  0  0  3  3  6  0  3  6  3  3  0  0  3  0  6  0  3  3  6  0  3  6  0  3  6  6  3  6  6  6  0  3  6  6  3  6  3  0  0  0  3  3  3  3  6  0  0  6  6  6  3  6  6  3  3  6  6  6  6  0  6  3

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

Homogenous weight enumerator: w(x)=1x^0+196x^120+90x^121+18x^122+252x^123+294x^124+108x^125+186x^126+732x^127+3132x^128+214x^129+714x^130+144x^131+136x^132+36x^133+74x^135+24x^136+72x^138+6x^139+40x^141+48x^142+36x^144+2x^147+4x^150+2x^183

The gray image is a code over GF(3) with n=576, k=8 and d=360.
This code was found by Heurico 1.16 in 0.369 seconds.