The generator matrix 1 0 0 1 1 1 1 1 1 1 3 1 X 1 1 1 1 1 0 X 1 1 2X 1 1 2X+3 1 1 1 1 1 0 1 1 3 2X 1 6 1 1 1 2X+6 1 1 1 1 2X+3 1 1 1 X+6 2X+6 1 1 1 X+3 1 1 2X+6 2X 1 2X+3 X+6 1 1 1 0 1 1 1 0 2X+6 1 1 0 1 0 0 6 2X+4 2X+4 X+8 1 X+2 1 2 1 6 X+5 X+2 X+4 X+4 1 1 X+3 X+6 1 2 2X+4 2X+6 X+1 X+4 2X+5 X+6 2X+5 1 7 2X+2 1 2X+6 6 1 7 5 8 1 2X+7 1 X+2 X+6 0 X+4 X+8 2X+6 1 1 2X+3 7 2X 1 X+7 3 X 1 X+7 1 1 5 X+7 2X+1 2X X+3 2X+4 3 1 1 X+6 0 0 0 1 1 2 2 2X+3 1 7 2X+3 7 X+2 X+8 X+3 4 0 2X+6 5 X+8 3 X+7 5 2X+4 X+8 X+4 1 0 2X+5 X+6 2X+3 2X+7 2X+6 2X+7 2X+5 X+5 1 7 6 2X+8 X+3 5 X+8 2X+5 X+1 X+7 2X+1 1 2X+6 0 X+2 2X+7 2X+5 X+5 X+4 5 2X 1 X 1 3 7 2X+1 3 6 X+1 2X+6 1 8 X+2 X+3 2X+2 2X 3 0 0 0 0 2X 3 6 0 6 0 3 3 3 6 X+6 2X+3 2X 2X 2X+3 X+3 2X+6 3 X X+3 X 2X+3 X+6 X+6 X+3 X+3 2X+3 X+6 X+6 X 2X 2X+6 2X+3 X 2X+3 6 2X X+6 0 X X X+3 2X+6 2X+3 6 3 X X+3 2X+6 6 0 2X 0 2X+6 2X+6 X+6 X X+6 2X+3 X X+6 2X 2X+6 X+6 2X+6 2X+3 2X 2X X+6 X+3 2X generates a code of length 74 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 137. Homogenous weight enumerator: w(x)=1x^0+420x^137+818x^138+1704x^139+3528x^140+4846x^141+5730x^142+8034x^143+10394x^144+11838x^145+14052x^146+16328x^147+16842x^148+17166x^149+16296x^150+14190x^151+11796x^152+9466x^153+5604x^154+4044x^155+2044x^156+852x^157+504x^158+212x^159+60x^160+132x^161+74x^162+36x^163+78x^164+16x^165+6x^166+24x^167+12x^168 The gray image is a code over GF(3) with n=666, k=11 and d=411. This code was found by Heurico 1.16 in 69.3 seconds.