The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 2 0 2 1 1 0 2 1 1 1 2 1 1 1 1 2 2 1 1 0 1 1 2 0 2 0 6 0 6 0 6 14 4 10 0 14 2 14 6 12 2 14 12 2 4 6 6 6 14 6 6 4 8 0 2 4 10 6 0 0 12 0 0 0 4 0 4 0 4 8 4 4 8 0 4 0 8 8 8 12 12 0 12 8 12 8 12 12 12 4 0 0 8 0 0 0 12 0 0 0 0 0 0 0 0 4 12 12 8 8 12 12 4 4 4 8 4 8 8 4 12 12 12 12 0 0 8 8 0 0 0 0 12 0 4 4 4 8 8 12 0 12 4 12 8 12 0 0 4 12 8 12 4 12 12 8 4 4 4 12 0 12 0 0 0 0 0 0 12 8 4 12 4 4 4 12 12 4 8 4 0 0 12 4 0 12 8 8 8 0 4 12 12 0 0 4 12 8 generates a code of length 35 over Z16 who´s minimum homogenous weight is 27. Homogenous weight enumerator: w(x)=1x^0+76x^27+183x^28+336x^29+504x^30+1032x^31+1840x^32+3290x^33+5723x^34+6832x^35+5584x^36+3482x^37+1882x^38+936x^39+476x^40+302x^41+140x^42+84x^43+41x^44+14x^45+6x^46+3x^48+1x^50 The gray image is a code over GF(2) with n=280, k=15 and d=108. This code was found by Heurico 1.16 in 15.4 seconds.