The generator matrix 1 0 1 1 1 1 1 2X^2+X 1 1 2X 1 1 1 0 1 2X^2+X 1 1 1 1 1 1 2X 1 1 1 2X 1 2X^2+X 1 1 1 1 X^2+2X 0 1 1 1 1 1 1 1 1 2X 1 0 1 1 X^2+2X 1 1 2X^2+X 1 1 X^2 1 1 1 1 1 1 X^2+X 1 1 1 1 1 1 1 X^2 1 1 1 X^2+X 1 0 1 2X^2+2X+1 2 2X^2+X X+1 2X^2+X+2 1 2X+2 2X 1 2X^2+1 2X^2+2X+1 2 1 2X^2+1 1 2X^2+X+2 0 2X+2 2X^2+X 2X X+1 1 2 0 2X+2 1 X+1 1 2X^2+2X+1 2X^2+X 2X^2+X+2 2X 1 1 2X^2+1 X^2+X 2X^2+2X+1 2 2X^2+1 2X^2+X+2 2X+2 X^2 1 X^2+1 1 X+1 0 1 2X^2+X 2X 1 X^2+2X+1 X^2+2X 1 X^2+X X^2 X^2+X+1 2X X^2+X+2 X^2+2X+2 1 X^2+2 X^2+2X+2 X^2+2X+2 X^2+2X X^2+2X 2X+2 2X^2+X 1 X^2+X 2X^2+X 0 1 X+1 0 0 2X^2 0 0 0 2X^2 2X^2 X^2 X^2 2X^2 2X^2 X^2 X^2 X^2 0 X^2 2X^2 X^2 0 0 0 0 X^2 X^2 X^2 2X^2 0 X^2 0 2X^2 2X^2 2X^2 X^2 0 X^2 0 2X^2 X^2 0 X^2 0 X^2 2X^2 2X^2 2X^2 2X^2 0 X^2 X^2 2X^2 X^2 X^2 0 2X^2 2X^2 X^2 0 X^2 2X^2 0 X^2 0 2X^2 2X^2 2X^2 2X^2 0 0 0 X^2 2X^2 2X^2 2X^2 0 2X^2 0 0 0 X^2 0 X^2 2X^2 X^2 X^2 2X^2 0 X^2 2X^2 X^2 0 0 2X^2 2X^2 2X^2 X^2 2X^2 X^2 0 2X^2 0 2X^2 0 2X^2 2X^2 X^2 2X^2 X^2 0 X^2 0 0 0 2X^2 X^2 2X^2 0 2X^2 0 X^2 X^2 X^2 2X^2 2X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 2X^2 X^2 2X^2 2X^2 0 0 2X^2 0 2X^2 2X^2 0 2X^2 2X^2 X^2 0 0 0 0 2X^2 2X^2 X^2 0 X^2 2X^2 2X^2 X^2 X^2 2X^2 X^2 X^2 0 0 0 X^2 0 2X^2 0 2X^2 0 X^2 2X^2 0 0 X^2 0 2X^2 0 X^2 X^2 2X^2 2X^2 X^2 2X^2 0 2X^2 X^2 X^2 X^2 2X^2 0 2X^2 2X^2 2X^2 0 X^2 0 X^2 X^2 2X^2 0 X^2 2X^2 0 0 0 2X^2 X^2 2X^2 0 2X^2 2X^2 2X^2 2X^2 0 X^2 0 0 2X^2 2X^2 0 generates a code of length 76 over Z3[X]/(X^3) who´s minimum homogenous weight is 143. Homogenous weight enumerator: w(x)=1x^0+246x^143+208x^144+612x^145+1068x^146+288x^147+1476x^148+1632x^149+524x^150+2502x^151+2580x^152+548x^153+2790x^154+2298x^155+400x^156+1278x^157+678x^158+140x^159+90x^160+162x^161+36x^162+54x^164+22x^165+30x^167+2x^168+2x^171+4x^174+4x^180+6x^183+2x^189 The gray image is a linear code over GF(3) with n=684, k=9 and d=429. This code was found by Heurico 1.16 in 8.57 seconds.