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 0 2 2 12 4 2 4 1 0 2 1 1 0 1 12 12 1 1 2 1 1 1 1 2 8 1 8 1 1 12 1 1 1 1 8 2 1 2 1 2 2 1 4 8 1 1 2 1 2 1 1 1 4 1 1 8 1 0 2 0 2 0 0 2 10 8 0 6 6 4 2 2 12 0 4 10 2 4 6 14 4 12 14 0 2 8 10 8 6 2 14 2 2 2 0 12 2 2 10 6 6 2 8 2 2 10 12 4 4 14 14 2 2 8 8 2 0 4 0 8 2 12 14 2 6 12 4 0 14 2 10 0 2 12 0 0 6 2 0 14 0 2 10 14 2 0 0 0 2 2 0 6 10 8 6 4 6 12 12 12 14 2 0 4 6 12 6 8 14 2 14 2 4 0 14 8 8 2 4 0 2 14 4 6 2 0 10 8 14 0 14 6 2 0 14 6 2 8 10 12 0 10 2 4 8 0 4 2 10 6 14 4 2 6 2 14 4 12 12 14 2 14 14 8 10 8 14 8 12 0 4 4 0 2 0 0 0 0 4 0 0 4 0 0 0 12 0 0 0 4 8 4 12 8 12 12 4 8 4 12 0 12 4 12 12 12 8 12 8 4 12 4 8 8 8 4 8 0 8 8 12 12 0 8 0 8 0 12 4 4 8 0 4 12 8 12 4 0 0 4 4 0 0 4 12 0 4 8 4 4 0 12 8 0 0 12 0 0 12 8 12 12 8 4 0 0 0 0 12 0 12 4 4 4 12 4 8 0 8 12 4 4 8 0 12 4 4 4 8 4 8 12 8 0 0 0 8 12 12 4 4 8 8 12 8 0 0 8 0 0 8 4 4 8 0 0 4 4 0 8 12 4 8 0 4 12 4 12 4 0 4 12 8 12 12 12 8 12 8 4 0 12 8 4 12 4 8 4 12 12 4 8 12 0 0 0 0 0 8 0 0 8 8 8 8 8 8 8 0 0 8 0 0 8 8 0 0 8 8 8 0 0 8 0 8 8 0 8 0 0 8 0 0 8 8 8 8 0 8 8 8 8 0 0 8 8 0 8 8 0 0 0 0 0 8 8 0 8 0 0 8 8 0 8 8 8 0 8 8 0 8 0 8 8 0 0 8 0 8 0 0 8 generates a code of length 89 over Z16 who´s minimum homogenous weight is 79. Homogenous weight enumerator: w(x)=1x^0+98x^79+205x^80+424x^81+660x^82+992x^83+1348x^84+1878x^85+2590x^86+2948x^87+3468x^88+3712x^89+3457x^90+3260x^91+2490x^92+1664x^93+1323x^94+778x^95+504x^96+392x^97+223x^98+146x^99+70x^100+40x^101+23x^102+30x^103+10x^104+14x^105+9x^106+2x^107+2x^109+2x^111+2x^113+2x^114+1x^122 The gray image is a code over GF(2) with n=712, k=15 and d=316. This code was found by Heurico 1.16 in 30.2 seconds.