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 1 1 1 X^2+2X 1 X^2+2X X^2+X X^2 X^2+X 1 1 1 1 1 2X 1 1 1 1 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 X^2+1 2X^2+2X+2 1 X^2+X 1 X^2+2X+1 1 1 1 1 2X^2+X 0 X^2+2X X^2 2X 1 0 X^2+2 2X+2 X^2+2 2X^2+2X+2 2X^2+2 2X^2+2X+2 2X^2+X+2 X^2+2X+2 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 0 X^2 0 2X^2 2X^2 0 0 X^2 X^2 0 X^2 2X^2 0 X^2 X^2 X^2 2X^2 X^2 2X^2 0 2X^2 0 0 2X^2 2X^2 0 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 2X^2 2X^2 0 X^2 2X^2 2X^2 0 0 0 2X^2 X^2 X^2 2X^2 2X^2 2X^2 2X^2 2X^2 0 X^2 0 0 0 X^2 X^2 2X^2 0 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 2X^2 0 0 0 0 0 X^2 0 2X^2 X^2 X^2 2X^2 2X^2 0 X^2 0 2X^2 0 2X^2 2X^2 0 X^2 X^2 X^2 0 2X^2 generates a code of length 74 over Z3[X]/(X^3) who´s minimum homogenous weight is 139. Homogenous weight enumerator: w(x)=1x^0+126x^139+492x^140+312x^141+804x^142+1212x^143+668x^144+1446x^145+1836x^146+1546x^147+1926x^148+2436x^149+1452x^150+1806x^151+1770x^152+594x^153+540x^154+378x^155+12x^156+102x^157+96x^158+10x^159+36x^160+42x^161+2x^162+12x^163+6x^165+6x^166+4x^168+4x^171+2x^174+4x^177 The gray image is a linear code over GF(3) with n=666, k=9 and d=417. This code was found by Heurico 1.16 in 64.3 seconds.