The generator matrix 1 0 0 0 1 1 1 1 1 X 1 1 2X 1 2X X 1 X 1 1 1 1 1 1 2X 2X 0 1 1 1 1 1 0 1 1 0 1 X 1 1 1 1 2X 1 1 1 1 2X 1 1 1 1 1 X 0 1 2X 1 1 X 2X 2X 1 1 X 1 0 1 0 1 X 1 1 2X X 1 0 1 1 1 1 1 1 1 1 0 0 1 0 1 1 1 1 1 1 0 1 1 1 0 1 0 0 0 0 2X+1 X 2 1 2X X+1 1 X+1 1 1 2X+1 1 0 X X+1 X+2 2X+2 2X+2 X 1 1 1 1 2X+1 X+2 2 1 X+2 2X+2 1 2X 2X X+1 2 2X+2 1 2X 0 1 2X+1 0 1 2X+2 2 X+2 2X 2 0 0 2X X X+2 X+1 1 1 1 X+1 2X+1 1 1 1 X 1 2X+2 1 2X 1 X 1 X X X+2 X 2X+1 X+2 2X+1 2X+2 2X+1 2X+2 X 1 0 0 2 0 2 2 2X+2 2X+2 2X X 2X+2 0 0 0 1 0 0 0 2X+2 2X+1 2 2X 2X+1 X+2 X 1 X+2 X+1 X 1 X+2 2X+2 1 X 1 X+1 1 2 X+1 2X+1 2 0 2X 1 2 X 2X+2 0 X+1 1 2X 2X+1 2 X+1 0 X+2 0 2 X+1 X+1 2 2X+2 1 X X 0 1 X+1 1 X+1 2X X+1 2X+1 X+2 X+2 0 X+1 1 X+2 0 2X+2 0 2X+2 X+1 2X+1 1 X+1 X+2 X 2X 2X+2 2X+1 2 X+1 X X 2 1 2X+1 X+1 1 2X+1 2 1 2 X+1 X+2 1 X+1 2X+2 2 0 0 0 1 1 2 2X+2 X+1 X 2X+2 2X+2 2X+1 1 2X 0 2 X 1 X 2 X+2 X+1 X+1 X+2 1 2X+2 2X X+1 0 X+1 X X X+1 2 1 2X+2 X 2 2 2X+2 2X 0 1 2X+1 0 0 2 2X+2 2X+2 X+1 0 X 2X+1 1 X 2X 2X+1 X+1 X+1 X+1 X 2X+2 1 2X+2 2 X+1 X+1 2 X+2 X 0 2X+1 2X+2 2X+2 X+1 0 1 X+2 2X+2 1 X+2 2X+1 2X+1 0 2X+1 0 2X+1 1 1 1 X 2X+2 2 2 X X+2 X X+2 2 0 0 0 0 2X 0 0 0 0 0 X 2X 2X 2X X 2X X X 2X X X X 2X 2X X 0 0 X X X 2X 0 X 0 X X 2X X X X 2X X 2X 2X 0 2X 2X 0 2X 0 2X X 2X 2X 2X 2X X 0 2X 0 0 2X 0 0 X 2X 2X 2X 0 X X 2X 0 X 2X X 0 0 2X 0 2X X X X X 0 0 0 2X 0 X 2X X 0 2X 2X 0 X 0 0 0 0 0 0 X X 2X 0 X 0 0 0 X 2X 2X 2X X X 0 0 X 0 2X 0 2X X 2X X 0 2X X 0 2X 2X X 0 2X X X 2X 0 X 2X 2X 2X X X X X 2X X X 2X 2X 2X 2X X X 2X 2X 0 0 2X X X 0 2X X 0 0 X 0 X X X 2X 0 2X 0 0 X 0 0 X 2X 0 0 0 2X 2X 2X 2X 0 X X X 0 X generates a code of length 99 over Z3[X]/(X^2) who´s minimum homogenous weight is 180. Homogenous weight enumerator: w(x)=1x^0+556x^180+1992x^183+3718x^186+5350x^189+6538x^192+7486x^195+7704x^198+7916x^201+6346x^204+5336x^207+3660x^210+1544x^213+616x^216+186x^219+70x^222+12x^225+8x^228+4x^231+4x^237+2x^240 The gray image is a linear code over GF(3) with n=297, k=10 and d=180. This code was found by Heurico 1.16 in 84.4 seconds.