The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 X 1 X X 1 1 X X X 1 1 1 X 1 1 1 X 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 2X 2X X X 0 X 2X 0 X X X X 0 X X 0 X 2X 2X 0 X 2X X X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 2X 0 X X X X X 2X 0 2X X 0 2X X 2X X 2X X 2X X 2X X 0 2X 0 X 0 X 0 0 0 X 0 0 0 0 0 0 0 0 X X X 2X 2X 2X 0 X 0 2X 2X 0 X 0 2X X X 0 X 2X X 0 0 2X 0 0 0 X 2X X 2X 0 0 0 0 X 0 0 0 0 0 X X 2X 2X 2X 0 2X 2X 0 2X 2X 0 0 2X X 2X X 0 2X 0 0 0 X 2X 2X 2X 0 2X 0 2X X 2X 2X 0 0 0 0 0 X 0 0 0 X 2X 2X 2X 2X 0 2X 2X 2X 0 0 0 0 2X 2X X X 2X X X 2X 0 0 2X 0 2X 0 2X 0 X 2X X 0 2X 0 0 0 0 0 0 X 0 0 2X 2X X 2X 0 X 0 2X 2X X X X 2X X X 2X 2X X 2X 0 2X X X 0 2X 0 0 X 2X 2X 0 0 0 0 0 0 0 0 0 0 0 X 0 2X X 2X 0 2X X 0 X 2X X 0 2X 0 2X X X 0 0 0 X X 2X 0 X 0 2X 0 2X 2X X 0 0 X 0 0 0 0 0 0 0 0 0 X X 0 X X 2X X 2X 0 X X X 2X X 2X 2X X 0 0 0 2X 2X 0 2X 2X X X X 0 0 X 2X X X 0 generates a code of length 43 over Z3[X]/(X^2) who´s minimum homogenous weight is 63. Homogenous weight enumerator: w(x)=1x^0+118x^63+384x^66+632x^69+30x^71+856x^72+300x^74+1240x^75+1380x^77+1530x^78+3990x^80+1888x^81+7986x^83+2450x^84+10848x^86+2692x^87+9264x^89+2188x^90+4512x^92+2106x^93+1056x^95+1660x^96+896x^99+566x^102+276x^105+124x^108+58x^111+14x^114+4x^117 The gray image is a linear code over GF(3) with n=129, k=10 and d=63. This code was found by Heurico 1.16 in 51.8 seconds.