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

generates a code of length 65 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 120.

Homogenous weight enumerator: w(x)=1x^0+464x^120+36x^122+1086x^123+54x^124+288x^125+2030x^126+324x^127+864x^128+4090x^129+2106x^130+1152x^131+4066x^132+432x^133+576x^134+988x^135+580x^138+336x^141+168x^144+32x^147+6x^153+2x^159+2x^171

The gray image is a code over GF(3) with n=585, k=9 and d=360.
This code was found by Heurico 1.16 in 9.68 seconds.