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 2 0 2 1 8 1 1 1 1 1 1 1 1 1 2 1 4 1 1 2 1 1 1 1 1 12 1 1 1 1 12 2 1 0 1 8 1 4 1 2 1 1 1 4 8 1 8 1 0 1 1 2 1 2 0 1 2 4 2 2 1 0 2 0 6 4 14 12 2 0 8 6 6 2 12 12 10 8 14 6 4 0 6 6 0 10 12 12 6 2 14 2 2 10 6 8 0 2 10 12 4 8 2 12 2 10 0 14 10 14 6 2 10 2 4 4 2 4 2 10 14 2 2 2 2 2 8 6 2 12 8 2 2 8 2 4 2 12 14 6 4 10 2 4 10 2 14 8 14 0 0 12 0 4 4 0 4 0 4 0 12 8 8 4 4 4 12 0 4 8 8 12 0 8 0 12 8 8 4 4 4 0 8 12 12 4 12 8 8 12 12 0 12 8 0 4 4 0 4 4 12 8 4 4 4 4 0 8 0 0 8 4 0 12 0 0 0 12 0 12 8 8 4 0 8 8 8 8 12 8 0 4 0 12 4 4 4 0 0 0 8 0 0 0 0 0 0 0 8 8 0 0 8 0 0 8 8 8 0 8 8 8 0 8 8 0 8 8 8 8 0 0 0 8 0 8 8 0 0 8 0 8 8 8 8 8 8 0 8 0 0 8 8 0 0 0 0 0 0 8 8 0 0 8 8 8 8 0 0 0 0 8 0 0 0 0 8 8 8 0 0 8 0 8 0 0 0 0 0 8 0 0 0 0 0 8 8 8 0 8 8 0 8 8 0 0 8 8 8 8 8 8 8 8 0 0 0 0 8 8 0 0 8 8 0 0 0 8 0 0 8 8 8 8 0 8 0 8 0 8 8 8 0 0 8 0 0 0 0 8 0 0 8 0 0 8 0 8 8 0 0 8 8 8 8 0 8 0 8 8 8 0 0 0 0 0 0 0 8 0 0 8 8 0 8 0 8 8 0 0 0 0 8 0 8 8 8 8 8 0 0 8 8 0 0 0 0 8 0 0 8 0 0 8 8 0 0 0 8 0 8 0 8 0 0 8 8 8 0 8 0 0 8 8 8 0 8 0 8 8 0 0 0 8 8 0 0 8 8 0 8 8 0 8 0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 0 8 8 8 8 8 8 8 0 0 0 0 0 0 8 8 0 8 8 8 0 0 8 8 8 8 8 8 0 8 8 8 8 8 0 0 8 8 0 8 8 8 8 8 0 8 8 8 0 8 8 8 0 0 0 8 0 0 0 8 8 8 0 0 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 8 8 0 0 0 8 8 8 0 8 0 8 0 8 0 8 8 8 0 8 0 0 8 8 8 8 0 8 0 8 8 8 0 8 0 0 0 8 0 8 8 8 8 0 0 0 8 0 8 0 8 0 8 8 8 0 8 0 8 8 8 0 0 8 0 0 0 0 8 8 0 8 8 8 8 0 0 8 8 8 generates a code of length 88 over Z16 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+50x^78+92x^79+183x^80+266x^81+504x^82+438x^83+1306x^84+828x^85+2253x^86+954x^87+2731x^88+968x^89+2298x^90+820x^91+1238x^92+428x^93+439x^94+212x^95+147x^96+56x^97+58x^98+34x^99+12x^100+8x^101+23x^102+6x^103+9x^104+4x^105+4x^106+4x^107+4x^108+2x^110+1x^112+2x^113+1x^126 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 9.65 seconds.