The generator matrix 1 0 0 0 1 1 1 3 1 1 1 1 1 1 1 2X 2X+6 1 1 1 X+6 2X+3 X+6 1 1 1 1 2X+3 1 1 1 1 1 2X 1 1 2X 1 1 1 1 2X+6 X+3 6 1 3 1 1 2X+6 1 1 1 X+3 2X 1 X+3 2X+3 1 1 1 1 1 2X 1 1 1 1 1 2X+3 1 2X X+6 1 1 X 1 1 0 1 0 0 3 1 7 1 X X+6 2X+8 2X+5 X+7 6 X+4 2X 1 2X 2X+4 8 1 1 1 2X+8 5 X+8 2 1 0 2X+1 2X+5 X+4 4 1 X 2X+5 1 3 X+8 X+4 2X+4 2X+6 1 X 1 1 2X+3 2 1 X+1 2X+1 7 1 0 0 1 1 2X+1 2X+3 2X+5 2X X+8 X+3 X+2 X+2 2X+6 2X+4 X+7 6 2X+3 1 3 X+2 2X+1 1 1 0 0 0 1 0 2X+4 2X+1 X+2 2X+4 X+1 X+5 6 4 X+7 X+6 2X 1 2X+5 X+5 2X 2X+5 2X+7 3 X+1 X 5 1 3 2 X+1 X+7 8 X+5 2X+2 3 2X+6 X+7 5 5 2X+2 3 2 1 5 1 7 2X+6 4 2X+7 X+3 2X+3 2X+3 2 2X+8 2X+3 8 7 5 2X+7 2X+2 5 2X+6 0 1 X+3 X+3 2X+7 X 2X+8 X+3 2X+3 X+1 0 X+1 4 X+7 2X+5 6 0 0 0 1 2X+2 6 2X+8 2X+8 7 X 1 X+6 5 2 X+7 X+4 X+1 2X+7 0 X+2 2X+4 5 2X+3 X+5 X+6 2X+1 2X+3 2X+8 X+6 2X+7 X+1 7 2X 4 2X+1 2 X+3 2X+8 2X+4 X+8 2X+3 X+5 5 X 3 X+2 2X+8 2X+7 X+6 2X+3 4 X+8 X 1 2X+7 X+2 X+1 2 0 3 2X+5 2 X+5 2X+1 4 X+8 7 1 1 5 X+6 1 2X+6 X+7 X+7 0 2X+6 generates a code of length 77 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 142. Homogenous weight enumerator: w(x)=1x^0+606x^142+1656x^143+4446x^144+6672x^145+9528x^146+13040x^147+19170x^148+23106x^149+28904x^150+35424x^151+40770x^152+47544x^153+50340x^154+49092x^155+49088x^156+44724x^157+35364x^158+27586x^159+19188x^160+11634x^161+6672x^162+3774x^163+1668x^164+776x^165+300x^166+120x^167+24x^168+78x^169+66x^170+20x^171+18x^172+12x^173+18x^174+12x^175 The gray image is a code over GF(3) with n=693, k=12 and d=426. This code was found by Heurico 1.16 in 547 seconds.