The generator matrix 1 0 0 1 1 1 1 1 1 1 2X^2 1 2X^2+X 1 1 1 X^2+X 2X^2+X 1 1 1 2X^2 X 1 1 1 1 X^2+X 2X 1 1 X^2 1 2X^2+2X 1 1 1 1 1 2X 1 1 2X 1 1 X^2+2X 1 1 1 1 X^2+2X 1 1 X^2 X 1 1 2X^2+2X 1 1 1 1 2X^2 1 1 1 1 1 0 1 1 1 X X^2+X 1 1 1 0 X^2+2X 2X^2+X 1 1 1 1 0 1 0 0 X^2 2X^2+2X+1 2X+1 X+2 2X^2+X+1 X^2+X+2 1 2 1 2X^2+X 2X^2+2X+2 X^2+2X+1 1 1 1 2X+2 X 1 2X^2+X 2X^2+1 X^2+2X+2 X^2 X 1 1 X+1 2X 1 X^2+1 X^2 2X^2+2X X+2 X^2+2X+2 X^2+2X+1 2X^2 1 X^2+2 X 1 2X^2+X X+1 1 X^2+X+2 X^2+X+2 X^2+2X X^2+2 2X X^2+2X+1 2X+2 X 1 2X^2+X+1 2X^2+X+1 1 2X^2+2X+1 X^2+X+2 X+2 1 2X^2+2X X^2+2 2X^2+2 2X+1 X^2+2X X+1 1 2X^2 X+2 X+1 0 2X^2 X^2+2X 2X^2+2X+1 2X^2+1 1 1 1 0 X^2+X 2X+2 0 0 0 1 2X^2+2X+1 2X^2+2 X^2+2 2X+1 X^2+X 2X^2+X X^2+X+2 2X^2+1 X+1 2X^2+2X+2 2X^2 2X^2+2X+1 X^2+2X 2X^2+1 2X^2+2 2X+1 2X^2 1 X^2+X 1 2X^2+2 X^2+2 X+2 X^2+X+1 X+1 X^2 2X^2+2X 2X^2+2 X+2 2X^2+1 1 0 2X+1 2X^2+X 2X+2 X^2+2X+2 X^2+1 X^2 2X 2X^2+X X^2+1 2X+2 2X^2+2X+2 X^2+2 X^2+2X+2 1 2X+2 1 X 2X^2+X+1 1 X^2+X X^2+1 2X^2+X+1 2X^2+2X+1 2X^2+2 X^2+X+1 X^2 X 1 2X+1 2X^2+X 2X 2X^2+2X+1 2X^2+2X+2 X^2+X+1 X^2+X 1 X+2 1 1 X^2+2X X^2+X+2 2X+2 X+2 X^2+2X+1 X^2+2X+2 X^2+2X X X^2+2 X^2+2X 0 0 0 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2 0 2X^2 0 2X^2 X^2 0 X^2 2X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 2X^2 2X^2 X^2 X^2 X^2 0 2X^2 X^2 0 0 X^2 0 X^2 X^2 2X^2 2X^2 0 2X^2 X^2 0 2X^2 2X^2 0 0 0 2X^2 2X^2 X^2 X^2 0 2X^2 0 0 X^2 2X^2 2X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 2X^2 2X^2 2X^2 X^2 0 0 2X^2 X^2 0 0 0 generates a code of length 84 over Z3[X]/(X^3) who´s minimum homogenous weight is 159. Homogenous weight enumerator: w(x)=1x^0+366x^159+1026x^160+1542x^161+2964x^162+4104x^163+2784x^164+5034x^165+5706x^166+4356x^167+5398x^168+4848x^169+3156x^170+4584x^171+4326x^172+2160x^173+2500x^174+1932x^175+894x^176+684x^177+354x^178+156x^179+42x^180+42x^181+6x^182+26x^183+6x^184+6x^185+20x^186+6x^188+2x^189+6x^190+6x^192+6x^193 The gray image is a linear code over GF(3) with n=756, k=10 and d=477. This code was found by Heurico 1.16 in 9.95 seconds.