The generator matrix 1 0 1 1 1 1 1 2X^2+X 1 1 1 2X 1 1 1 1 1 0 1 2X 1 2X^2+X 1 1 2X 1 0 1 1 1 1 1 1 2X^2+X 1 1 1 2X^2+X 1 1 1 1 1 1 2X 1 0 1 1 X^2+X 1 X^2+X 1 X^2+2X 1 X^2 X^2 1 1 1 1 1 1 1 X^2 0 1 X X^2+2X 2X^2+X X^2+2X 1 1 1 1 1 0 0 1 2X^2+2X+1 2 2X^2+X X+1 2X^2+X+2 1 2X+2 2X 2X^2+1 1 2X^2+X 2 2X^2+2X+1 0 2X^2+X+2 1 2X^2+1 1 2X+2 1 2X X+1 1 2X^2+2X+1 1 X+1 2 0 2X 2X^2+1 2X^2+X+2 1 2X^2+X 2X+2 X^2 1 2X+2 2X^2+1 2X 2X^2+2X+1 X+1 2 1 X^2+X+1 1 X^2+2X+2 2X^2+X+2 1 0 1 2X^2 1 2X^2+X 1 1 X^2+X+2 X^2+2 X^2+2X+1 X^2+2 2 X^2+2 X^2+2X+1 1 1 0 1 1 1 1 X^2+1 X^2+X X^2+2X+2 X^2+X X 1 0 0 2X^2 0 0 0 2X^2 2X^2 2X^2 X^2 2X^2 X^2 X^2 0 X^2 X^2 2X^2 2X^2 X^2 0 X^2 0 0 2X^2 X^2 X^2 2X^2 0 X^2 2X^2 2X^2 0 0 0 2X^2 2X^2 0 0 2X^2 X^2 0 X^2 0 X^2 2X^2 2X^2 X^2 X^2 2X^2 2X^2 X^2 2X^2 2X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 2X^2 2X^2 X^2 2X^2 X^2 2X^2 0 0 X^2 2X^2 0 0 0 X^2 0 0 0 0 0 X^2 2X^2 2X^2 X^2 X^2 2X^2 2X^2 2X^2 X^2 2X^2 2X^2 X^2 X^2 X^2 2X^2 0 X^2 X^2 X^2 2X^2 2X^2 0 X^2 0 X^2 0 X^2 X^2 2X^2 2X^2 X^2 2X^2 0 0 X^2 0 0 X^2 0 0 0 0 2X^2 X^2 2X^2 X^2 0 2X^2 2X^2 2X^2 2X^2 X^2 0 0 0 X^2 0 2X^2 2X^2 2X^2 X^2 X^2 0 2X^2 0 2X^2 0 2X^2 0 0 0 0 2X^2 X^2 2X^2 2X^2 X^2 0 2X^2 2X^2 2X^2 2X^2 0 2X^2 X^2 0 X^2 2X^2 X^2 0 X^2 0 2X^2 X^2 2X^2 X^2 2X^2 0 2X^2 0 X^2 2X^2 X^2 X^2 2X^2 0 2X^2 0 0 X^2 2X^2 2X^2 X^2 X^2 0 X^2 0 0 0 X^2 2X^2 X^2 X^2 0 2X^2 X^2 X^2 0 0 0 2X^2 2X^2 X^2 X^2 0 0 2X^2 2X^2 X^2 0 X^2 0 X^2 2X^2 2X^2 generates a code of length 77 over Z3[X]/(X^3) who´s minimum homogenous weight is 145. Homogenous weight enumerator: w(x)=1x^0+138x^145+336x^146+630x^147+744x^148+1020x^149+1210x^150+1050x^151+1644x^152+2150x^153+1494x^154+1944x^155+2250x^156+1182x^157+1440x^158+1194x^159+540x^160+300x^161+64x^162+126x^163+96x^164+10x^165+54x^166+24x^167+6x^168+12x^169+8x^171+6x^172+4x^174+2x^177+4x^183 The gray image is a linear code over GF(3) with n=693, k=9 and d=435. This code was found by Heurico 1.16 in 1.51 seconds.