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 0 2 1 8 1 1 2 1 8 1 1 1 1 2 1 12 2 1 1 1 0 1 1 1 1 1 1 2 1 1 1 2 1 4 1 12 1 2 12 8 1 1 1 1 1 2 12 1 1 1 1 1 1 2 1 4 1 1 0 1 8 1 4 2 1 2 1 0 2 0 6 0 6 8 2 4 6 4 14 4 10 12 2 0 6 4 10 14 12 12 6 8 2 8 12 14 2 14 6 2 0 10 6 6 2 10 4 8 4 10 10 2 10 10 2 12 2 0 12 8 6 2 12 10 10 8 14 6 4 2 2 2 6 10 2 2 0 8 2 8 10 10 2 2 10 2 4 2 4 2 4 4 12 2 2 2 4 10 2 6 12 8 0 0 0 12 0 0 0 12 0 12 0 4 0 8 0 0 0 8 4 4 4 12 8 4 4 0 4 12 8 4 4 12 4 12 4 12 8 8 4 8 8 12 0 8 8 0 0 4 0 12 4 8 8 12 12 0 8 12 0 4 4 4 0 12 4 0 8 8 12 12 0 4 4 0 8 8 8 0 4 8 4 8 12 4 12 8 0 12 8 0 8 4 12 0 12 12 0 0 0 0 12 0 0 0 4 8 4 8 8 8 4 8 0 12 4 12 0 0 4 12 8 12 12 4 4 12 8 12 0 12 12 12 0 4 8 4 0 0 0 8 8 4 4 0 12 8 12 0 0 12 8 0 0 8 8 4 4 8 4 12 0 0 12 4 12 0 12 12 0 12 8 8 4 12 0 4 0 8 4 8 0 4 0 12 0 0 8 12 0 4 8 12 4 0 0 0 0 12 0 4 8 0 4 4 12 8 12 4 12 4 0 12 4 8 4 8 12 8 4 4 8 4 12 4 0 4 0 0 0 12 8 0 8 0 12 0 12 4 12 8 12 12 0 4 12 12 12 0 12 12 0 8 8 12 0 12 0 12 4 4 0 8 4 8 8 0 0 8 0 8 12 0 0 8 4 12 4 0 8 4 8 8 4 12 4 4 0 12 4 0 0 0 0 0 8 0 8 8 0 8 8 8 8 8 0 0 0 0 8 8 8 0 0 0 8 8 8 0 0 8 0 0 8 8 0 8 0 8 8 8 0 8 0 8 0 0 0 8 8 8 0 0 0 8 8 8 8 8 8 0 0 0 0 0 0 8 8 0 0 8 8 8 0 8 0 0 8 0 0 8 0 0 0 0 8 8 0 0 0 0 8 8 0 0 0 generates a code of length 96 over Z16 who´s minimum homogenous weight is 86. Homogenous weight enumerator: w(x)=1x^0+48x^86+96x^87+199x^88+358x^89+469x^90+716x^91+953x^92+1256x^93+1550x^94+1710x^95+1858x^96+1844x^97+1566x^98+1110x^99+892x^100+636x^101+333x^102+272x^103+191x^104+90x^105+64x^106+44x^107+21x^108+28x^109+20x^110+18x^111+11x^112+12x^113+13x^114+2x^115+2x^116+1x^142 The gray image is a code over GF(2) with n=768, k=14 and d=344. This code was found by Heurico 1.16 in 10.6 seconds.