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 2 8 1 2 0 2 1 1 4 1 1 2 8 1 1 1 1 0 1 1 4 2 0 2 1 1 1 4 2 2 1 1 1 1 2 2 1 1 1 0 1 1 12 2 2 2 2 12 1 1 2 2 1 1 1 1 1 1 2 1 0 2 0 6 0 6 4 2 8 14 6 4 12 4 10 2 0 8 2 6 4 10 8 6 8 2 10 0 14 14 2 10 14 2 14 2 8 2 0 12 2 2 6 12 14 0 2 6 6 2 10 2 2 12 12 6 2 2 10 2 8 0 12 6 12 6 6 10 2 14 14 2 2 14 6 2 2 12 10 0 8 12 10 6 14 6 4 10 6 0 0 12 0 0 0 4 0 12 0 0 12 8 0 8 8 8 8 4 4 4 12 12 12 0 0 12 12 8 4 12 4 0 4 0 0 12 0 0 0 4 12 12 4 8 4 8 4 12 4 4 8 0 4 0 8 12 8 0 12 0 12 8 0 12 4 12 8 4 12 0 8 8 4 12 8 4 0 0 12 12 8 4 12 12 4 8 8 4 0 0 0 12 0 0 0 4 0 8 4 0 0 0 12 8 12 12 0 4 12 8 4 8 0 4 12 12 0 12 0 12 8 4 12 0 4 4 8 12 8 12 12 0 8 8 4 8 12 0 4 0 8 4 8 4 12 8 12 4 4 8 0 8 4 0 8 4 0 12 0 4 12 0 12 8 8 0 12 12 4 12 4 8 0 0 4 8 4 0 0 0 0 12 0 0 8 4 12 4 4 4 8 4 4 12 8 8 0 12 12 4 4 4 8 12 8 4 4 8 0 4 8 0 0 0 8 0 12 0 4 8 4 12 0 12 8 4 8 0 0 12 12 12 0 4 4 4 12 12 0 8 0 12 8 8 12 12 8 12 4 4 8 8 0 12 12 12 4 12 0 4 0 4 12 0 0 8 0 0 0 0 0 8 0 8 0 8 0 0 0 0 8 0 8 8 0 0 0 8 8 0 8 8 8 0 8 0 0 0 0 0 8 8 0 0 8 8 8 0 8 8 0 8 8 0 0 0 8 8 8 0 8 8 0 8 8 8 8 0 0 8 0 8 0 8 8 8 0 0 0 0 8 0 0 8 8 0 8 0 8 8 0 8 0 8 8 0 0 0 0 0 0 8 0 0 0 0 8 8 8 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 0 8 8 0 8 8 0 0 8 8 8 0 0 8 8 0 8 8 8 8 8 0 0 8 0 0 8 8 0 0 8 0 0 0 0 8 0 0 0 8 8 0 8 8 8 0 0 8 8 8 0 8 0 8 0 8 8 0 8 generates a code of length 89 over Z16 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+61x^78+158x^79+287x^80+380x^81+548x^82+806x^83+1242x^84+1726x^85+2472x^86+3154x^87+3682x^88+3980x^89+3589x^90+3260x^91+2418x^92+1690x^93+1251x^94+698x^95+438x^96+264x^97+198x^98+148x^99+98x^100+70x^101+53x^102+28x^103+24x^104+16x^105+16x^106+2x^107+2x^108+2x^109+2x^110+2x^111+1x^118+1x^122 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 34.5 seconds.