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 0 2 12 1 2 2 0 1 1 1 12 1 1 2 1 1 2 8 1 2 4 1 1 8 2 1 2 1 1 0 1 1 2 1 1 1 8 1 1 1 12 1 1 1 2 1 1 2 0 0 1 1 1 2 4 8 1 2 8 2 0 2 0 6 4 6 12 2 8 6 4 14 0 2 12 10 6 12 2 4 0 6 10 12 14 0 0 2 0 2 6 2 2 6 10 2 2 12 6 2 0 4 14 6 8 2 2 10 10 2 2 14 2 14 0 2 0 2 2 4 6 14 6 6 14 2 8 14 6 2 12 14 14 14 2 8 10 4 4 14 0 10 10 8 2 4 8 2 14 0 0 12 0 4 0 0 0 8 4 12 4 12 12 0 4 8 4 8 4 0 8 0 0 4 4 12 0 8 8 0 8 8 12 12 4 4 0 12 4 0 0 0 4 4 8 0 8 8 8 4 4 12 12 8 8 8 8 4 12 0 4 12 4 8 0 4 8 0 8 12 4 12 8 4 12 12 0 12 0 0 8 0 12 4 12 4 0 0 0 0 0 12 0 0 0 4 12 4 4 0 4 8 4 12 4 4 12 0 8 8 0 0 8 8 4 4 4 8 8 0 8 4 12 4 0 0 12 4 4 4 4 4 0 12 12 0 0 12 0 0 0 8 4 12 8 12 4 0 4 8 8 12 8 12 12 4 0 4 8 12 12 8 8 12 4 12 8 4 0 4 8 4 0 8 0 4 4 0 0 0 0 8 0 0 0 0 0 0 0 8 0 0 0 0 8 0 8 8 0 8 0 8 8 8 8 8 8 0 0 8 0 8 0 8 0 0 0 0 8 8 8 0 0 8 0 8 8 8 0 8 8 8 8 8 8 8 0 0 8 0 8 0 8 0 8 8 0 0 8 8 8 8 0 8 8 8 8 0 8 0 8 0 0 8 8 8 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 8 8 0 8 0 0 8 8 8 0 8 8 0 8 0 8 8 0 0 8 8 0 0 8 0 8 0 8 8 8 0 8 0 0 0 0 0 8 8 8 8 0 8 0 8 0 0 8 0 8 8 8 0 0 8 0 8 8 0 8 0 8 0 0 8 8 0 0 8 8 8 0 0 8 0 0 0 0 0 0 8 0 0 0 8 0 8 0 8 0 0 0 8 8 0 8 8 0 8 0 8 0 0 0 0 8 8 8 0 8 0 0 0 0 8 0 8 8 0 8 8 0 8 8 0 8 8 8 0 0 0 8 8 8 8 8 8 8 8 0 8 8 0 8 8 0 8 8 0 8 8 8 8 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 8 0 8 0 0 8 0 8 0 0 0 0 0 8 0 0 8 0 0 0 0 8 8 8 8 0 8 8 0 8 8 0 8 8 0 8 8 0 0 8 8 8 0 8 8 8 0 0 0 0 0 8 8 8 0 8 8 0 8 8 8 0 8 0 8 8 0 8 8 8 0 8 8 8 8 8 8 0 generates a code of length 89 over Z16 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+115x^78+28x^79+426x^80+228x^81+780x^82+840x^83+1645x^84+1640x^85+2520x^86+2704x^87+3767x^88+3408x^89+3933x^90+2760x^91+2530x^92+1688x^93+1442x^94+788x^95+660x^96+204x^97+312x^98+48x^99+116x^100+82x^102+56x^104+31x^106+12x^108+1x^110+1x^112+1x^116+1x^120 The gray image is a code over GF(2) with n=712, k=15 and d=312. This code was found by Heurico 1.16 in 34.8 seconds.