The generator matrix 1 0 1 1 1 1 1 X+3 1 2X 1 1 1 1 0 1 X+3 1 1 1 1 1 1 1 2X 1 2X 1 X+3 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 X+6 1 1 1 1 1 1 X 1 1 1 1 1 1 2X+6 1 2X+6 1 1 3 0 1 1 8 X+3 2X X+2 1 2X+8 1 2X+4 X+1 3 2 1 2X+1 1 X+2 X 2X+3 X+4 1 8 0 1 2X+8 1 X+3 1 X+1 2X+8 X+3 X+1 X+8 X+6 X+5 2X 2X 2X+3 1 X+7 2X+8 2X+2 4 0 1 7 2X+6 2X+7 2X+2 8 X+4 X+6 7 X 2X+2 6 5 X+3 1 1 1 X+3 2X+7 1 0 0 2X 0 0 6 3 6 0 6 2X+3 2X X+3 X+6 2X+6 X+3 2X 2X+6 X+6 X+3 X+6 X 2X+3 2X+3 2X+3 2X+6 6 2X+6 2X+3 0 2X+6 6 2X+3 X+3 X+3 6 3 2X X X+6 6 3 2X+6 0 2X+6 0 2X+3 X+6 X+6 X+3 2X 3 2X X+6 0 0 2X X+6 2X+3 2X+6 0 3 X+3 X+3 X+3 0 0 0 6 0 0 0 3 3 6 3 6 6 0 0 0 6 0 6 6 0 6 6 0 3 3 6 3 6 3 3 6 3 6 3 3 3 6 0 3 6 6 6 0 6 3 6 0 3 6 0 0 3 6 6 0 0 0 3 6 6 3 3 3 3 0 0 0 0 3 6 6 0 3 0 3 6 3 3 6 0 6 6 0 6 6 0 0 0 0 6 6 3 0 3 0 6 6 0 3 6 6 3 3 6 3 3 6 3 0 6 3 0 3 6 0 6 6 3 0 0 3 0 6 0 6 3 0 6 0 generates a code of length 65 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 120. Homogenous weight enumerator: w(x)=1x^0+454x^120+180x^121+810x^122+1810x^123+1530x^124+2628x^125+3360x^126+3654x^127+5526x^128+5074x^129+6174x^130+7668x^131+5070x^132+4734x^133+4554x^134+2770x^135+1152x^136+684x^137+604x^138+72x^139+256x^141+230x^144+42x^147+6x^150+2x^153+4x^159 The gray image is a code over GF(3) with n=585, k=10 and d=360. This code was found by Heurico 1.16 in 10.4 seconds.