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 2 1 2 1 1 1 1 1 1 1 2 1 1 2 1 1 1 4 1 1 1 2 2 1 2 1 2 1 1 1 1 2 4 2 1 1 2 2 1 1 2 2 1 0 1 2 8 8 2 0 2 1 0 12 0 0 0 4 12 4 8 0 4 12 0 0 4 12 8 8 8 8 4 4 4 4 8 0 4 12 0 4 12 8 8 0 0 4 0 4 4 4 0 12 8 12 12 0 8 4 4 4 4 0 12 4 0 4 4 12 4 0 0 8 8 12 0 8 12 0 8 12 0 12 8 0 12 12 12 4 4 12 0 4 4 4 4 12 8 0 0 12 0 4 4 12 0 0 4 8 4 0 4 8 4 0 8 4 4 12 0 4 0 12 8 0 0 12 12 12 8 0 4 4 12 8 12 4 8 8 12 0 8 8 4 4 8 4 8 12 12 4 8 0 4 0 8 8 8 8 12 4 0 0 8 4 4 12 12 8 0 12 8 4 8 12 0 4 4 8 12 4 8 12 4 0 0 0 0 12 4 0 12 4 4 8 0 4 0 12 4 8 4 0 0 12 4 4 8 8 4 12 4 8 8 12 0 4 8 0 0 8 0 0 0 12 8 12 4 0 12 4 4 4 8 8 0 4 4 12 4 4 12 4 12 4 0 8 8 12 8 12 4 4 8 0 0 0 4 0 4 4 12 12 4 0 4 0 8 12 4 12 4 0 0 0 0 8 0 0 8 0 8 8 0 0 0 0 0 8 0 8 0 8 0 8 8 8 8 8 0 8 8 8 8 0 0 0 8 8 8 0 8 8 8 0 8 0 0 0 0 8 0 0 8 0 8 8 8 8 8 0 0 0 0 8 0 0 0 0 8 8 0 8 8 8 8 8 0 8 8 8 8 8 0 0 8 8 8 8 0 0 0 0 0 8 0 8 8 8 0 8 0 8 8 0 0 8 0 0 0 0 8 8 8 8 0 8 0 8 0 8 8 8 0 0 8 8 8 8 0 0 0 0 8 8 8 0 0 8 0 8 0 0 0 8 8 8 0 8 0 8 8 8 8 8 8 8 0 8 0 8 0 8 0 8 8 0 0 0 0 0 0 0 8 8 8 0 0 0 0 0 0 8 0 8 8 8 8 8 0 0 8 0 8 8 8 8 0 0 0 8 8 0 8 0 8 8 0 0 0 8 0 8 0 8 8 0 0 8 0 8 0 8 8 8 0 0 0 0 8 8 0 8 0 8 8 8 8 0 8 0 0 8 0 0 0 8 0 0 0 8 0 0 0 8 0 0 8 8 0 8 8 0 generates a code of length 87 over Z16 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+125x^78+16x^79+335x^80+44x^81+343x^82+192x^83+662x^84+700x^85+1203x^86+1152x^87+1152x^88+740x^89+614x^90+160x^91+240x^92+52x^93+171x^94+16x^95+121x^96+83x^98+34x^100+13x^102+14x^104+8x^106+1x^128 The gray image is a code over GF(2) with n=696, k=13 and d=312. This code was found by Heurico 1.16 in 3.1 seconds.