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

generates a code of length 65 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 127.

Homogenous weight enumerator: w(x)=1x^0+96x^127+180x^128+8x^129+84x^130+216x^131+10x^132+84x^133+36x^134+2x^135+6x^136+4x^138+2x^168

The gray image is a code over GF(3) with n=585, k=6 and d=381.
This code was found by Heurico 1.16 in 0.125 seconds.