The generator matrix 1 0 0 0 1 1 1 1 1 2X 1 1 1 1 1 1 1 2X 1 0 1 X 1 2X 1 1 1 X 1 1 0 1 0 1 1 X 0 2X 1 2X 0 1 1 1 1 1 1 0 1 1 1 1 1 1 2X 1 1 1 0 1 1 2X 1 2X X 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 X 1 2X 0 X 1 1 1 1 1 2X 1 X 2X 2X 1 1 0 1 0 0 0 0 2X+1 2X+1 X+1 1 2 X+2 2X 2X+2 1 X+2 X+2 1 2X 1 2X+1 0 X+1 X 1 2 2X+2 1 2X+1 X+2 1 2X 1 X 0 1 1 1 X+1 X 1 2X 2X+2 2 2X+1 X X+1 0 2 X+1 0 2 X 2X+1 1 X+1 X X+2 1 X X+1 1 2X+2 1 0 2X+1 2 0 2X 0 X+1 1 2X 2X+1 X 2X+1 2X X+1 0 X+1 1 2X+1 0 1 1 X+2 X+2 2X X+2 2 2X 1 X 1 X 2X+2 0 0 0 1 0 0 X X 2X 0 0 2X 2X 2X+1 1 1 2X+2 2 X+1 X+1 X+2 X+1 1 2X+2 1 2X+2 1 X+2 X+1 X+2 X+1 2X+1 2 0 2X+1 2 X+2 2X+2 2X 2X+2 1 X+2 2X+1 2X 1 2X+1 0 2X 1 0 2X+2 2X X X+2 2X 2X+1 2 2X+1 X 2X+1 X 1 1 X+1 0 0 2X+2 2 X+2 X 2X+1 0 X+2 0 2X+1 2X+2 X+1 X+2 X+2 2 2X+1 2X X X 1 X+2 2X+2 X+1 2X 1 2 1 2X+1 1 2X+2 1 2 2X+1 0 0 0 1 1 2X+2 2 1 0 X+2 0 2X+1 X 2X X X+1 0 X+1 2X+1 2X+2 X+2 X+2 1 X+1 2X+2 X+2 X+2 2X+2 X 2X+1 X 2 X+1 2 2X+1 1 0 2 2 2X+1 2X+2 2X+1 2X 2X 1 1 X+1 2X+2 2 2X+1 1 X+2 X 2 2X+2 2X 2 X 1 X 0 0 2X+2 X 1 2X+1 2X+1 1 2X+2 X+2 2X+2 1 X 1 0 0 X X+1 X+1 2X+2 2 2X 1 X 0 2X+2 2X X+2 2 X 2 X+2 2X+1 X 2X+2 2X+1 1 0 0 0 0 2X 2X 2X 2X 2X 0 2X 2X 2X 2X 2X 2X 2X 0 2X 0 2X 0 2X 0 2X 2X 2X 0 X X 2X X 2X X X X 2X X 0 2X X 0 X X 0 X 0 2X X X 0 0 0 0 X 0 0 0 X X 0 0 X X 2X 0 0 2X 0 X 2X 2X 2X X 2X X X X 2X X 2X 0 2X 0 2X 0 0 X 0 0 2X 0 0 X X X 0 generates a code of length 97 over Z3[X]/(X^2) who´s minimum homogenous weight is 180. Homogenous weight enumerator: w(x)=1x^0+554x^180+1764x^183+2380x^186+2672x^189+2474x^192+2654x^195+2266x^198+1722x^201+1490x^204+866x^207+558x^210+160x^213+94x^216+16x^219+12x^222 The gray image is a linear code over GF(3) with n=291, k=9 and d=180. This code was found by Heurico 1.16 in 9.87 seconds.