The generator matrix 1 0 1 1 1 14 1 4 1 1 14 1 1 1 1 12 1 1 1 6 10 1 1 12 1 1 6 1 12 1 2 1 2 14 1 2 6 1 1 0 1 1 6 7 1 11 1 14 4 1 13 11 10 5 1 8 5 12 1 1 5 14 1 7 3 1 13 1 4 4 7 2 1 2 12 1 10 14 0 0 2 0 14 8 0 10 14 10 6 8 12 2 2 8 0 12 6 14 10 14 4 10 10 10 12 0 0 4 6 14 10 8 14 2 12 14 6 0 0 0 12 0 12 4 8 12 0 4 4 8 4 12 8 4 4 4 8 12 12 0 4 0 12 12 0 4 0 8 8 8 8 4 0 8 8 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 0 0 8 8 8 8 8 0 8 8 0 0 8 8 0 0 0 generates a code of length 39 over Z16 who´s minimum homogenous weight is 34. Homogenous weight enumerator: w(x)=1x^0+370x^34+416x^35+1667x^36+1576x^37+2916x^38+2640x^39+2857x^40+1696x^41+1460x^42+272x^43+353x^44+56x^45+76x^46+18x^48+10x^50 The gray image is a code over GF(2) with n=312, k=14 and d=136. This code was found by Heurico 1.16 in 60.6 seconds.