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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 4 1 4 4 4 1 2 4 4 1 1 1 1 2 1 2 1 2 1 1 1 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 8 8 8 8 8 0 0 8 0 0 8 8 8 8 0 0 0 8 8 8 0 8 8 8 0 8 0 8 0 8 0 8 0 8 8 0 8 0 8 8 8 8 0 0 8 0 8 8 8 0 8 8 0 8 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 0 0 0 0 8 8 8 0 8 0 8 0 8 8 8 8 0 0 0 8 0 8 0 8 8 8 0 0 0 0 0 8 8 8 0 8 8 8 8 0 0 8 8 0 8 8 8 0 8 0 8 0 0 0 0 0 0 0 0 0 8 8 8 8 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 8 8 8 8 8 8 8 0 0 0 8 0 8 8 8 0 8 8 0 0 8 8 0 0 0 8 0 0 8 0 8 8 0 0 8 8 8 8 0 8 8 8 0 0 0 0 8 8 0 0 0 8 0 8 0 0 8 8 0 0 8 0 8 0 8 0 0 0 8 0 0 8 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 8 8 8 8 8 8 0 0 0 0 8 0 8 8 0 0 8 0 8 0 8 0 8 0 8 8 0 0 0 8 8 8 8 8 0 8 0 8 0 8 8 0 0 0 8 8 8 0 8 8 8 0 0 0 8 0 8 8 8 8 8 0 0 0 0 8 0 0 0 8 0 0 0 8 8 8 0 8 0 0 0 0 0 8 0 0 0 0 0 0 0 0 8 0 8 8 8 8 8 8 0 8 8 0 8 8 8 0 0 0 8 8 8 8 8 8 8 8 0 8 0 8 0 0 8 0 0 8 8 8 8 0 0 0 0 0 8 8 8 0 8 8 8 0 8 0 0 0 0 8 0 0 8 0 8 8 0 8 0 0 0 0 0 8 8 0 8 0 8 0 8 8 8 8 0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 0 8 8 0 8 8 0 8 0 8 0 8 8 8 8 0 0 0 8 0 8 8 0 8 0 8 8 8 8 0 8 8 8 8 8 8 0 0 8 8 0 8 0 0 0 8 0 8 8 0 8 0 0 0 0 0 8 0 8 0 8 8 0 8 0 8 8 0 0 0 0 8 8 0 8 8 0 0 8 0 8 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 0 8 8 8 8 0 8 8 0 8 0 8 0 0 8 0 0 0 0 8 8 8 0 8 8 0 8 0 0 0 8 0 0 0 8 8 8 0 0 8 8 0 0 8 8 0 0 8 8 0 0 8 0 8 8 0 0 0 0 8 8 0 0 0 8 0 8 8 8 8 0 8 0 8 0 8 8 0 8 8 0 0 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 8 8 0 8 0 0 0 8 8 8 0 0 8 0 8 8 0 8 8 8 0 8 0 0 0 0 8 8 0 8 8 0 8 8 8 8 8 0 8 8 0 0 0 8 0 0 0 0 0 0 8 0 8 8 8 8 0 8 8 0 0 8 0 0 8 8 0 0 0 0 8 8 0 8 8 8 8 0 8 0 0 0 0 0 0 0 0 0 8 0 0 8 0 0 0 8 0 0 8 0 8 0 0 8 0 0 0 0 8 8 8 0 0 8 8 0 0 8 8 0 8 0 8 0 8 0 8 8 8 8 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 8 0 0 0 8 0 0 0 0 8 0 0 0 8 8 8 8 8 0 8 0 8 0 0 8 0 0 8 0 8 0 0 0 0 0 0 0 0 0 0 8 0 8 8 8 8 8 0 0 0 8 0 0 8 8 0 0 8 0 8 8 0 0 8 8 0 8 8 8 8 8 0 0 8 0 0 8 0 8 0 0 0 0 8 0 8 0 8 8 0 8 0 0 8 0 8 8 0 0 0 8 0 0 0 0 8 8 8 0 0 0 0 8 8 8 8 8 0 0 8 8 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 0 0 8 8 8 8 8 0 8 0 8 0 0 0 0 0 8 8 8 8 0 0 0 0 8 0 0 0 8 0 0 8 0 8 8 0 0 8 8 8 0 0 8 0 0 0 0 0 8 0 0 8 8 0 8 0 8 8 8 0 8 0 0 0 8 0 0 8 8 0 8 0 8 0 8 0 8 0 8 8 generates a code of length 96 over Z16 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+50x^78+136x^80+204x^82+263x^84+345x^86+440x^88+729x^90+1537x^92+2764x^94+19881x^96+2840x^98+1502x^100+704x^102+426x^104+298x^106+230x^108+144x^110+93x^112+84x^114+51x^116+23x^118+14x^120+5x^122+1x^124+2x^126+1x^144 The gray image is a code over GF(2) with n=768, k=15 and d=312. This code was found by Heurico 1.16 in 58.9 seconds.