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 2 8 12 1 12 1 1 2 2 0 4 2 2 2 2 1 1 8 1 4 0 1 1 1 1 1 1 8 1 1 1 1 12 1 1 2 2 1 1 1 1 2 1 1 1 1 4 1 1 1 0 2 0 0 0 2 6 14 0 8 0 2 6 12 14 2 8 14 4 14 10 4 8 4 12 6 12 0 2 6 10 2 4 10 0 2 8 0 12 12 2 2 12 8 0 8 2 14 10 10 6 14 6 2 6 2 12 2 0 10 2 4 6 2 14 14 14 14 2 12 14 2 4 0 12 4 4 6 6 0 0 10 2 0 4 12 0 0 2 0 2 2 2 0 4 14 8 0 8 14 10 10 2 6 8 4 12 6 4 0 10 8 6 12 14 4 2 14 2 8 0 10 6 2 2 4 2 12 12 6 8 0 14 10 2 4 8 14 8 4 12 14 12 10 10 12 10 4 0 0 6 0 4 10 14 0 10 6 6 0 4 8 0 0 4 4 10 14 8 2 6 8 0 0 0 2 2 0 2 10 8 2 14 14 4 12 14 12 6 4 14 2 8 0 14 8 14 6 0 12 14 12 6 8 10 10 6 0 2 4 10 4 4 2 2 4 14 2 10 6 4 12 14 6 0 8 0 6 2 10 0 14 12 8 10 2 0 0 6 0 12 2 4 8 2 12 14 12 4 6 0 14 14 2 2 4 8 14 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 0 8 8 8 0 0 8 8 0 0 0 8 0 0 0 8 8 8 8 0 8 0 0 8 8 8 8 8 8 8 8 8 0 0 8 0 8 0 8 8 8 0 0 0 8 0 0 0 8 0 8 0 8 0 0 0 0 0 0 8 0 8 8 8 8 0 8 8 8 0 8 8 0 8 0 8 8 0 0 0 0 8 8 8 0 0 0 8 0 8 0 8 0 0 0 0 0 8 0 8 8 0 0 0 8 8 0 0 8 8 0 8 8 0 0 8 8 8 8 0 8 0 8 0 8 0 0 0 8 8 8 8 0 0 0 8 0 8 8 0 generates a code of length 86 over Z16 who´s minimum homogenous weight is 77. Homogenous weight enumerator: w(x)=1x^0+146x^77+409x^78+708x^79+790x^80+1338x^81+1760x^82+2720x^83+2726x^84+4060x^85+3613x^86+4416x^87+2868x^88+2480x^89+1448x^90+1072x^91+700x^92+598x^93+341x^94+268x^95+135x^96+76x^97+40x^98+32x^99+10x^100+2x^101+1x^102+2x^104+2x^105+2x^106+2x^109+1x^114+1x^130 The gray image is a code over GF(2) with n=688, k=15 and d=308. This code was found by Heurico 1.16 in 26.5 seconds.