The generator matrix 1 0 1 1 1 1 1 X+3 1 1 2X 1 1 0 1 1 X+3 1 1 2X 1 1 1 1 1 0 1 1 1 1 1 1 2X 1 1 X+3 1 0 1 1 1 1 1 2X+6 X+3 6 2X X+6 1 1 1 1 X+6 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 2X+4 8 X+3 X+1 X+2 1 2X+8 2X 1 4 2X+4 1 8 4 1 X+2 0 1 X+3 2X+8 2X X+1 0 1 X+3 8 X+2 2X+8 4 2X 1 X+1 0 1 2X+4 1 X+2 2X 4 X+1 2X+8 1 1 1 1 1 8 X+5 5 2X+5 1 7 2X+6 2X+6 X+8 X+3 2X+3 X+7 2X+3 6 5 X+6 8 X+6 5 0 0 3 0 0 0 3 3 6 6 3 3 6 6 6 0 6 3 3 0 0 0 0 6 3 3 6 0 3 3 0 3 6 0 3 0 0 3 0 3 3 3 0 6 3 0 3 6 6 6 3 3 0 0 6 0 6 6 6 6 0 0 3 3 0 6 0 0 0 0 6 0 6 3 6 6 3 0 6 3 0 6 0 3 3 3 6 6 6 3 6 3 3 0 0 0 0 3 0 0 3 6 6 0 6 3 6 6 0 3 6 0 0 3 3 3 3 3 6 3 6 3 3 0 6 6 0 6 6 3 3 6 3 6 0 0 0 0 3 3 6 0 6 3 3 6 6 6 3 6 0 0 6 6 3 6 0 6 0 3 3 0 3 6 0 0 0 3 0 0 3 6 6 6 3 3 0 0 6 6 0 6 6 0 3 6 0 6 0 3 6 0 3 6 3 0 0 3 6 0 3 generates a code of length 67 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 126. Homogenous weight enumerator: w(x)=1x^0+304x^126+756x^127+684x^128+414x^129+1998x^130+990x^131+414x^132+3348x^133+2160x^134+372x^135+3780x^136+1638x^137+234x^138+1728x^139+360x^140+234x^141+54x^142+142x^144+54x^147+14x^153+2x^162+2x^171 The gray image is a code over GF(3) with n=603, k=9 and d=378. This code was found by Heurico 1.16 in 82.9 seconds.