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

generates a code of length 64 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 125.

Homogenous weight enumerator: w(x)=1x^0+192x^125+128x^126+1656x^128+64x^129+48x^132+96x^134+2x^192

The gray image is a code over GF(3) with n=576, k=7 and d=375.
This code was found by Heurico 1.16 in 48.3 seconds.