The generator matrix 1 0 0 1 1 1 1 1 1 1 2X+6 1 X 1 1 1 2X 6 1 X+6 1 1 1 2X 1 1 3 1 1 1 X 1 X+3 1 1 1 1 X+3 1 0 1 1 1 6 1 1 2X+3 1 1 1 2X+3 1 1 1 1 1 2X 1 1 2X 1 2X+3 2X 2X 1 1 1 0 1 0 0 3 2X+7 2X+7 X+8 1 X+5 1 5 1 3 X+1 X+1 X+6 1 2X 1 2X+8 8 2X+3 1 4 2X+8 1 X+6 2X+4 4 X 0 1 2 1 X+8 2X 1 6 1 X+5 2X+2 2X+7 1 7 2X+1 6 2X 5 X+7 1 3 2X+3 2X+1 2X+8 2X+5 1 3 X 2X 2X+3 1 2X+6 1 0 X+8 X 0 0 1 1 5 5 2X+6 1 4 2X+6 2X+7 X+5 X+8 0 4 X+3 1 X X+4 2X+1 X+4 5 X+2 5 2 3 1 2X+6 0 1 1 X+4 X+5 X+1 2X+2 X+2 2X+8 2X+6 2X+8 2 2X+8 3 2X 2X+7 2X+4 2X+8 1 1 2X+7 2 X+6 X X+8 1 X+2 7 0 X+1 7 1 6 0 1 X+8 X 2X+5 2X 0 0 0 2X 6 3 0 3 0 6 0 6 3 X 2X+3 X+3 X+6 X+3 0 2X+3 2X+6 X+3 2X 2X X+6 2X X+6 2X+3 2X+3 X 2X+3 X+6 X X 2X+6 X+6 X+3 2X 3 3 2X+3 X+6 X+3 2X X 2X 6 2X+3 2X+3 0 X+6 3 0 6 0 X+3 3 2X X X+3 3 2X+3 0 X+3 X+3 X X+6 generates a code of length 67 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 123. Homogenous weight enumerator: w(x)=1x^0+236x^123+444x^124+1878x^125+2888x^126+3714x^127+6744x^128+7710x^129+8730x^130+13872x^131+14030x^132+14118x^133+20172x^134+19058x^135+15138x^136+17196x^137+11638x^138+7560x^139+6090x^140+2898x^141+1152x^142+942x^143+424x^144+114x^145+90x^146+128x^147+36x^148+72x^149+26x^150+18x^151+12x^152+12x^153+6x^154 The gray image is a code over GF(3) with n=603, k=11 and d=369. This code was found by Heurico 1.16 in 68.9 seconds.