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 2 0 2 8 2 1 4 2 1 1 1 2 1 1 1 12 2 1 8 4 1 8 1 2 2 1 1 1 2 1 0 2 4 1 12 1 2 1 4 1 2 1 2 1 2 1 1 1 1 2 4 2 2 1 0 2 0 2 0 0 14 6 4 2 4 14 12 6 12 2 0 4 12 8 0 6 6 2 14 2 14 10 14 4 14 12 10 0 10 2 14 8 4 14 2 12 4 12 14 14 8 14 10 2 6 2 4 2 12 4 10 6 14 8 0 4 6 0 2 0 4 2 12 2 4 6 8 4 6 6 10 0 12 14 6 2 0 0 0 2 8 0 0 0 2 2 12 6 14 0 4 6 2 12 0 10 6 12 8 2 0 2 12 0 12 2 10 14 0 8 6 6 12 10 4 4 2 10 8 2 10 6 4 14 12 8 0 10 6 10 6 8 8 12 2 6 10 2 14 2 6 8 6 4 0 12 2 14 2 12 2 2 6 8 2 10 0 6 6 2 14 10 0 4 14 14 4 4 14 8 0 0 0 4 0 0 12 8 8 12 0 0 8 4 0 8 0 0 8 0 0 0 8 0 0 8 4 12 8 12 12 12 4 4 12 4 12 12 12 4 0 4 12 12 4 8 4 8 12 0 8 12 8 4 4 4 8 0 0 12 8 12 0 12 0 4 0 8 12 4 8 4 0 12 12 0 8 0 12 12 0 0 4 8 12 8 0 8 0 0 0 0 8 0 0 0 8 0 0 0 8 0 0 0 8 8 0 8 0 8 8 0 0 0 0 0 0 8 0 8 0 0 8 8 0 8 8 8 8 8 0 0 8 0 0 8 8 8 0 8 8 8 0 8 8 8 0 8 8 0 8 8 0 8 8 8 0 8 8 0 0 8 8 0 8 0 0 8 0 8 0 0 8 8 8 0 0 0 0 0 0 8 0 8 8 8 8 0 0 8 0 8 8 8 8 0 0 0 8 0 8 0 0 8 8 0 0 0 8 8 0 0 8 0 8 8 8 8 0 0 0 0 8 0 8 8 0 8 0 8 0 0 8 0 8 0 0 8 8 8 0 8 0 0 8 0 0 0 0 8 0 0 8 8 0 0 8 8 0 0 0 8 8 0 0 0 0 0 0 0 8 0 0 0 8 8 8 8 8 8 8 8 8 8 8 0 8 0 0 8 8 0 8 8 0 0 8 0 8 0 8 0 0 0 8 8 8 0 0 0 0 8 8 0 0 0 0 0 0 0 0 8 0 8 0 8 0 8 8 8 8 8 0 0 0 0 0 8 8 0 8 8 8 8 8 8 8 8 0 0 0 8 generates a code of length 88 over Z16 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+89x^78+214x^79+450x^80+670x^81+994x^82+1368x^83+1841x^84+2634x^85+3164x^86+3382x^87+3554x^88+3474x^89+2943x^90+2460x^91+1898x^92+1288x^93+832x^94+528x^95+383x^96+226x^97+140x^98+90x^99+51x^100+22x^101+25x^102+20x^103+12x^104+6x^105+3x^106+2x^107+2x^108+1x^110+1x^118 The gray image is a code over GF(2) with n=704, k=15 and d=312. This code was found by Heurico 1.16 in 29.7 seconds.