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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 0 1 1 1 1 1 2 1 2 2 1 1 1 1 1 1 1 1 8 1 12 1 1 1 1 0 1 2 1 1 0 1 12 1 2 4 1 2 1 1 1 2 0 1 0 2 0 6 4 14 12 2 0 6 12 10 8 14 12 2 0 14 8 14 4 2 12 10 12 2 6 12 14 0 12 10 8 0 10 2 2 10 14 8 8 4 2 6 14 14 12 14 6 8 10 2 8 4 8 0 12 14 6 8 2 4 2 12 14 10 14 2 4 14 2 6 4 14 2 0 6 8 6 10 10 14 14 2 2 4 0 0 12 0 4 4 0 4 0 8 0 8 12 12 12 4 8 8 4 12 4 4 8 0 12 4 4 0 0 0 4 8 4 12 0 8 4 4 4 4 0 0 0 4 12 0 12 8 8 0 0 4 8 4 12 12 8 0 8 0 12 8 0 8 4 8 12 8 4 4 12 0 8 8 8 8 8 4 8 0 4 0 12 12 8 4 0 0 0 8 0 0 0 0 0 8 8 8 8 8 8 8 8 0 0 8 8 0 8 0 0 0 8 8 8 0 8 0 0 0 0 8 0 0 0 8 0 0 8 8 0 0 0 8 0 8 8 8 8 8 0 0 0 0 0 8 0 0 0 8 8 8 8 8 0 8 8 0 0 8 0 0 0 8 0 0 8 8 8 0 0 0 0 0 0 0 8 0 0 8 8 8 8 0 8 0 0 8 0 8 8 8 0 8 0 8 0 0 0 8 8 8 8 0 0 8 0 8 0 0 8 8 0 8 0 0 8 0 8 8 0 0 0 0 8 8 0 0 0 0 8 8 8 8 0 0 8 0 8 8 0 0 0 0 8 0 0 8 0 8 0 8 0 8 8 8 8 8 0 0 0 0 0 8 0 8 0 0 0 0 0 8 0 8 0 0 0 8 0 8 0 0 0 8 8 0 0 0 0 0 8 8 8 8 0 0 0 8 8 8 8 0 0 8 8 8 0 8 8 0 8 8 8 8 8 0 8 8 0 8 0 8 0 8 0 0 8 8 8 8 8 8 8 8 0 0 0 0 8 8 8 8 8 8 0 0 0 0 0 0 8 0 0 0 8 8 0 8 0 8 0 8 8 0 8 8 8 0 8 8 0 0 8 8 8 8 8 8 8 0 0 8 8 8 0 8 8 8 8 0 0 8 8 0 8 0 8 8 8 0 8 0 0 0 8 0 8 8 8 8 0 8 0 0 8 8 8 8 0 8 0 0 0 8 0 8 8 0 8 8 generates a code of length 86 over Z16 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+124x^78+461x^80+80x^81+666x^82+464x^83+758x^84+992x^85+1206x^86+992x^87+730x^88+464x^89+659x^90+80x^91+304x^92+123x^94+27x^96+31x^98+21x^100+7x^102+1x^104+1x^140 The gray image is a code over GF(2) with n=688, k=13 and d=312. This code was found by Heurico 1.16 in 2.76 seconds.