The generator matrix 1 0 1 1 1 1 1 1 0 1 1 X+3 2X 1 1 1 1 1 1 1 1 1 X+3 1 2X 1 1 1 3 1 1 X 1 1 1 1 X+3 1 2X 1 6 1 1 1 X+6 1 1 1 1 X+6 0 1 1 0 1 6 1 X+6 X+6 2X+6 1 3 1 1 1 X 0 1 1 8 X+3 X+2 2X+4 2X 1 8 X+4 1 1 2X+4 X+1 3 2X+8 2X+1 1 X+2 X 2X+8 1 2X+3 1 2 X+8 X 1 X+1 X+6 1 2X X+1 4 2X+8 1 X 1 3 1 2X+4 X+8 2X+3 1 X+5 2X+5 7 7 1 1 X+8 2X+6 1 4 1 X+1 1 1 1 2X+2 1 X+2 2X+8 1 X 0 0 2X 0 3 3 6 0 2X+3 2X+6 X 2X+3 2X+6 2X+3 2X+3 X+6 2X+6 X X+3 2X X 3 3 X 3 X+6 X+6 X+3 X 2X 6 X 2X+6 3 3 2X+3 3 X 6 2X 6 2X+3 X 6 X+6 2X+6 X+6 X+6 6 2X 2X 0 X+6 6 2X+6 X+3 3 X+3 X+3 3 2X+3 X+3 X 2X+6 6 X+6 0 0 0 6 6 0 3 3 6 0 6 3 0 3 6 0 3 0 3 6 3 3 3 6 6 6 6 0 3 0 0 6 6 0 6 0 0 6 3 3 6 0 3 6 0 0 0 6 0 6 3 6 3 3 3 6 6 3 0 0 6 3 0 6 3 6 generates a code of length 66 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 125. Homogenous weight enumerator: w(x)=1x^0+684x^125+954x^126+432x^127+1578x^128+2026x^129+1098x^130+1974x^131+2654x^132+1080x^133+2118x^134+2016x^135+756x^136+1074x^137+698x^138+36x^139+228x^140+94x^141+48x^143+42x^144+48x^146+10x^147+12x^149+6x^150+12x^152+2x^153+2x^156 The gray image is a code over GF(3) with n=594, k=9 and d=375. This code was found by Heurico 1.16 in 63.6 seconds.