The generator matrix 1 0 1 1 1 1 1 0 1 1 1 0 1 X 1 1 X 0 1 1 2 0 2X+1 2 1 0 2X+1 2 1 X X X+1 2X+2 1 0 0 2X 0 X 2X X 0 2X X 0 2X 0 X 0 2X 2X 0 0 0 X X 2X 2X X 0 0 2X 0 X 0 2X X X generates a code of length 17 over Z3[X]/(X^2) who´s minimum homogenous weight is 30. Homogenous weight enumerator: w(x)=1x^0+220x^30+158x^33+240x^36+102x^39+4x^42+2x^45+2x^48 The gray image is a linear code over GF(3) with n=51, k=6 and d=30. This code was found by Heurico 1.16 in 0.214 seconds.