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 2 1 1 2 1 1 2 2 1 1 1 1 2 1 1 1 1 1 1 2 1 1 4 1 1 1 1 1 1 0 4 1 1 1 1 1 0 1 4 1 1 2 2 1 2 1 1 0 2 1 2 2 2 1 1 1 2 0 12 0 12 0 12 0 12 0 4 8 12 0 12 4 8 12 0 8 0 4 4 8 12 0 8 0 8 12 12 4 4 12 0 0 12 12 12 12 4 4 4 12 12 12 0 0 4 0 8 0 12 12 4 12 4 8 4 0 8 8 4 12 12 12 8 12 0 4 4 12 12 4 12 12 4 12 12 0 4 8 8 4 12 12 4 0 4 12 0 0 8 0 0 0 0 0 0 0 8 0 8 0 0 8 8 0 8 8 8 8 0 8 0 8 8 0 0 8 8 0 0 0 0 0 0 8 8 8 8 0 0 0 8 0 8 0 8 8 0 0 0 8 0 8 8 0 8 0 8 0 0 8 8 0 0 0 8 0 8 0 8 8 0 0 0 0 8 8 8 0 8 0 8 0 8 0 0 0 0 0 8 0 0 0 0 0 8 0 0 0 8 8 0 8 8 8 8 0 8 8 0 0 8 8 0 0 8 8 0 0 0 0 8 8 0 8 0 8 0 8 8 0 8 8 0 0 0 0 8 8 0 0 8 8 8 0 8 0 8 8 8 0 0 0 0 0 0 8 0 8 8 0 0 8 8 0 0 8 8 0 8 0 8 8 0 8 0 0 0 0 8 0 0 0 0 0 0 0 8 0 0 0 0 8 0 8 0 0 0 0 8 8 8 8 0 0 0 0 0 0 0 0 8 8 8 8 0 8 8 8 0 8 8 8 8 0 0 8 0 8 8 8 8 8 8 0 8 0 8 8 0 0 8 8 0 8 0 0 8 0 0 8 8 8 0 8 8 0 8 8 8 8 8 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 8 0 8 0 0 0 8 8 0 0 8 8 8 8 0 8 0 8 0 8 0 8 0 8 8 0 0 8 0 0 8 8 0 8 8 8 0 8 8 8 0 0 8 8 0 8 0 8 8 0 0 0 0 8 8 0 0 8 0 0 0 8 0 8 0 0 0 8 0 8 0 8 8 8 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 8 8 8 8 0 8 8 8 8 0 0 8 8 8 0 0 8 0 0 8 8 0 0 0 8 0 8 0 8 8 0 0 8 8 8 8 0 0 0 0 8 0 0 0 0 8 8 8 0 0 0 0 8 0 0 0 8 8 8 8 0 8 8 8 0 8 0 8 8 0 0 8 0 0 0 0 0 0 0 0 0 8 0 8 0 8 0 0 8 0 0 8 8 8 8 0 8 8 0 8 8 0 0 8 8 0 0 8 8 8 0 8 0 8 8 0 8 0 8 0 0 8 0 8 8 8 8 0 0 0 0 0 0 0 0 8 0 0 8 8 0 8 0 8 8 8 8 8 8 8 0 0 8 8 0 0 0 8 0 8 0 8 0 0 0 0 0 0 0 0 0 8 0 8 8 8 8 0 8 0 0 0 8 8 8 8 0 8 0 0 8 8 0 0 8 0 0 0 0 0 8 8 8 8 0 0 0 8 8 0 0 8 0 8 0 8 8 8 8 0 0 8 0 0 8 8 8 0 8 0 0 8 8 0 0 0 8 8 8 8 8 0 8 8 8 0 8 0 8 0 8 0 generates a code of length 89 over Z16 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+38x^78+36x^79+110x^80+70x^81+167x^82+124x^83+185x^84+192x^85+739x^86+392x^87+1866x^88+452x^89+1858x^90+328x^91+729x^92+232x^93+176x^94+116x^95+120x^96+70x^97+64x^98+28x^99+38x^100+8x^101+20x^102+12x^104+5x^106+5x^108+2x^110+3x^112+1x^114+3x^116+1x^118+1x^138 The gray image is a code over GF(2) with n=712, k=13 and d=312. This code was found by Heurico 1.16 in 3.64 seconds.