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 2 8 1 0 2 8 1 2 1 1 1 1 1 12 1 1 2 1 1 12 1 2 1 2 1 1 1 2 1 1 1 2 1 1 12 1 12 1 1 2 1 1 2 1 1 12 0 1 1 2 1 1 1 0 1 1 4 0 1 1 1 1 0 2 0 6 0 6 8 2 4 6 4 14 4 10 12 2 0 6 4 10 14 12 12 6 8 2 14 2 12 2 14 2 10 10 8 8 2 6 10 2 2 14 6 4 8 2 8 10 12 2 12 10 6 10 12 12 10 2 10 12 2 6 2 8 14 6 2 10 10 12 8 2 2 6 12 10 10 4 8 2 2 10 8 2 6 4 12 0 0 0 12 0 0 0 12 0 12 0 4 0 8 0 0 0 8 4 4 4 12 8 4 4 0 4 0 12 8 12 12 4 12 8 4 12 4 8 8 4 4 4 0 4 8 8 0 12 8 8 4 8 12 12 4 4 12 0 0 4 0 0 4 0 4 0 0 8 4 8 4 8 8 12 12 0 0 0 4 12 4 8 8 0 8 0 0 0 0 0 0 12 0 0 0 4 8 4 8 8 8 4 8 0 12 4 12 0 0 4 12 8 12 12 12 12 4 0 12 8 12 0 12 12 12 12 8 0 0 0 4 0 8 8 12 12 0 0 8 8 12 4 0 12 12 4 0 4 8 8 8 12 12 8 0 12 12 8 4 4 12 0 12 4 8 0 0 4 0 0 12 4 0 4 0 0 0 0 0 0 12 0 4 8 0 4 4 12 8 12 4 12 4 0 12 4 8 4 8 12 8 4 8 4 8 12 4 8 12 0 12 8 8 8 8 4 8 12 12 8 12 0 12 0 8 12 12 12 0 0 12 8 4 0 0 4 12 12 4 4 4 0 4 4 4 4 8 4 12 0 12 12 4 4 12 0 4 0 12 4 4 0 0 0 0 0 0 0 0 8 0 8 8 0 8 8 8 8 8 0 0 0 0 8 8 8 0 0 0 8 0 0 8 0 8 0 0 0 8 8 8 8 0 0 8 0 0 0 0 8 8 0 0 8 0 0 0 0 8 8 8 8 8 8 8 0 8 8 8 8 8 0 8 8 8 8 0 0 8 8 0 8 8 8 0 8 8 8 8 8 8 0 generates a code of length 88 over Z16 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+44x^78+70x^79+200x^80+262x^81+538x^82+598x^83+966x^84+1074x^85+1908x^86+1640x^87+1996x^88+1640x^89+1893x^90+1046x^91+973x^92+484x^93+398x^94+192x^95+173x^96+88x^97+54x^98+22x^99+28x^100+30x^101+25x^102+14x^103+10x^104+6x^105+2x^106+2x^107+5x^108+1x^110+1x^130 The gray image is a code over GF(2) with n=704, k=14 and d=312. This code was found by Heurico 1.16 in 9.28 seconds.