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 1 1 1 1 1 1 1 2 2 2 2 1 2 2 1 1 1 1 1 4 2 1 0 1 4 1 1 1 4 1 1 2 1 1 2 2 1 0 1 1 1 1 1 1 2 1 2 1 1 4 4 1 2 1 0 12 0 0 0 0 0 0 0 12 4 12 12 4 8 8 8 12 4 12 0 4 12 12 4 12 0 8 8 12 12 8 4 8 0 8 4 8 4 0 8 12 12 12 0 12 0 4 4 8 4 8 0 8 8 8 0 12 4 4 12 8 8 0 8 0 4 4 4 8 4 4 8 8 12 8 4 8 0 4 12 4 4 12 8 0 0 4 0 0 12 0 0 0 4 12 4 4 4 8 0 8 4 4 8 12 12 4 12 0 12 12 0 12 12 4 0 8 8 0 12 0 0 12 0 8 4 8 8 8 8 12 0 8 12 12 0 0 4 4 4 0 8 4 0 0 8 0 4 0 4 12 12 4 4 12 12 8 12 0 12 8 0 0 12 8 0 12 0 12 4 8 12 0 0 8 0 0 0 12 0 4 4 4 8 4 0 12 4 8 12 0 8 4 8 0 0 12 8 12 8 4 8 4 4 8 4 12 8 12 4 8 12 8 4 8 4 4 0 12 12 0 12 8 12 4 12 0 12 12 12 0 4 0 8 0 4 8 8 4 4 8 4 0 0 12 0 8 4 0 8 8 0 12 4 12 4 0 0 8 12 4 8 12 0 0 0 0 12 4 0 4 4 8 0 8 12 4 8 0 4 4 0 12 12 4 0 0 12 4 4 4 0 8 0 8 12 4 4 12 0 0 8 0 12 12 8 0 8 8 4 0 8 0 12 8 12 4 8 0 0 4 4 8 4 12 8 12 12 12 4 0 12 0 0 0 0 8 12 12 4 8 12 8 12 4 8 0 8 8 4 4 0 0 0 0 0 8 0 0 8 0 8 8 8 0 8 8 8 8 0 0 0 8 0 0 8 0 8 0 8 8 0 0 8 8 0 0 0 8 8 8 0 8 8 0 0 0 8 8 8 8 0 8 8 0 0 0 8 0 0 8 8 8 8 8 8 0 0 8 0 8 8 0 0 8 0 0 0 0 8 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 8 8 8 8 8 8 8 0 8 8 0 8 8 0 8 0 8 0 8 0 0 8 0 8 8 8 0 8 0 0 8 0 8 8 8 8 0 8 0 0 8 0 0 0 0 8 0 8 0 8 0 8 0 8 8 8 0 0 0 8 0 8 8 8 0 0 0 0 0 8 8 0 0 generates a code of length 88 over Z16 who´s minimum homogenous weight is 77. Homogenous weight enumerator: w(x)=1x^0+76x^77+131x^78+158x^79+200x^80+204x^81+331x^82+442x^83+588x^84+1098x^85+1723x^86+2258x^87+2444x^88+2102x^89+1518x^90+1016x^91+633x^92+358x^93+287x^94+176x^95+158x^96+144x^97+68x^98+92x^99+61x^100+42x^101+26x^102+16x^103+8x^104+6x^105+7x^106+2x^107+2x^108+2x^109+5x^110+1x^136 The gray image is a code over GF(2) with n=704, k=14 and d=308. This code was found by Heurico 1.16 in 11.7 seconds.