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 2 2 1 2 2 1 2 1 1 1 4 1 2 2 1 8 1 1 1 2 1 1 2 4 1 1 1 2 4 2 1 8 2 2 1 4 1 2 1 2 1 4 1 8 1 1 1 2 1 0 12 0 0 0 0 0 0 0 0 8 4 12 12 8 0 12 12 4 4 8 4 0 12 12 4 4 4 12 8 8 4 12 8 4 12 8 0 12 12 0 8 8 0 0 0 4 4 4 12 0 4 0 4 4 12 8 8 4 0 8 4 0 0 12 12 4 12 8 4 12 12 4 12 8 12 0 4 4 4 8 8 12 12 4 0 8 0 0 12 0 0 0 0 0 0 0 12 8 4 12 4 4 4 12 0 8 12 12 4 4 12 8 0 12 0 4 12 0 8 0 8 12 4 4 4 12 12 8 12 8 12 0 12 4 4 0 4 8 8 4 12 0 8 0 0 4 4 4 12 8 4 8 0 4 4 0 4 12 8 4 0 12 0 0 8 8 12 8 0 8 8 12 8 0 0 0 12 0 0 8 12 12 4 4 12 8 12 12 0 8 12 12 8 0 8 12 12 12 0 4 0 4 4 8 0 12 0 8 8 4 8 12 8 0 0 8 4 8 0 8 0 12 4 0 0 12 12 12 4 8 12 0 0 4 12 4 4 12 12 12 4 0 4 8 0 0 4 4 0 12 8 8 4 4 4 0 8 0 12 8 0 0 0 0 12 0 12 12 4 8 0 0 0 0 8 0 12 4 4 12 4 0 4 12 0 12 12 12 8 12 4 0 8 0 12 8 4 8 0 0 8 4 12 8 0 12 8 12 0 8 0 4 0 12 0 4 8 8 8 8 8 4 0 12 8 12 0 8 0 12 8 4 0 4 0 12 4 12 4 4 12 4 4 0 0 8 0 0 0 0 0 0 12 4 8 4 4 0 0 0 0 4 4 0 8 4 4 0 4 12 12 12 8 8 12 4 0 12 4 4 8 0 8 0 0 8 4 12 12 8 12 8 12 4 8 4 12 12 4 12 0 12 8 4 8 8 4 8 8 8 12 0 8 8 4 12 12 8 0 4 12 0 8 12 0 4 0 8 8 4 8 12 4 8 generates a code of length 87 over Z16 who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+37x^76+124x^77+189x^78+218x^79+295x^80+374x^81+462x^82+748x^83+1072x^84+1516x^85+2069x^86+2396x^87+2090x^88+1452x^89+1094x^90+706x^91+413x^92+298x^93+190x^94+144x^95+138x^96+100x^97+66x^98+54x^99+38x^100+38x^101+23x^102+18x^103+12x^104+2x^105+2x^106+4x^107+1x^126 The gray image is a code over GF(2) with n=696, k=14 and d=304. This code was found by Heurico 1.16 in 11.2 seconds.