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 8 2 1 0 2 1 0 1 0 1 2 2 1 2 1 1 1 4 2 4 1 1 2 4 1 1 1 1 1 1 0 1 12 2 1 2 1 8 1 1 1 1 1 4 1 1 2 1 1 1 0 1 2 1 2 1 2 8 2 0 1 2 1 1 4 2 1 0 2 0 6 0 6 4 2 8 14 6 4 12 4 10 2 0 8 2 2 0 6 10 0 6 8 14 4 4 6 14 2 14 12 2 6 4 2 6 2 4 14 6 12 6 10 6 12 2 6 2 4 6 10 2 0 4 10 6 12 0 2 2 2 2 10 14 12 2 2 14 0 0 12 12 14 6 2 4 0 8 2 4 12 6 2 4 12 2 4 2 4 14 12 12 2 6 0 0 0 12 0 0 0 4 0 12 0 0 12 8 0 8 8 8 8 4 4 4 12 12 4 4 4 4 12 0 12 4 4 4 8 0 12 4 4 12 8 4 12 12 12 8 0 0 0 4 0 0 8 12 0 12 4 0 8 4 4 8 12 8 8 8 0 8 8 12 4 8 12 8 8 12 0 8 8 12 12 8 12 12 8 12 4 4 0 0 12 4 0 4 0 12 0 0 0 0 0 0 12 0 0 0 4 0 8 4 0 0 0 12 8 12 12 0 12 12 8 12 12 4 12 4 12 12 8 8 8 0 12 12 12 8 12 4 0 4 4 0 4 12 0 8 4 12 8 12 0 0 4 8 4 4 8 4 0 8 0 12 12 8 0 12 8 0 4 4 12 4 8 0 0 0 4 0 12 8 4 4 4 8 4 0 12 12 8 8 0 8 12 4 8 0 0 0 0 0 0 12 0 0 8 4 12 4 4 4 8 4 4 12 8 8 12 0 4 0 0 8 4 4 4 12 8 4 8 0 8 4 8 4 8 12 0 12 4 12 0 4 4 4 0 4 4 8 12 12 12 8 4 8 0 4 8 0 4 0 8 12 0 0 0 12 0 0 8 0 4 0 0 12 0 0 12 4 4 12 0 12 4 12 4 4 4 0 12 8 12 8 12 0 0 0 0 0 0 0 8 0 8 0 8 0 0 0 0 8 0 8 8 0 8 8 0 0 0 0 0 8 8 8 0 8 8 8 8 0 0 8 8 0 8 0 8 8 0 8 0 8 0 0 0 8 8 0 8 0 8 0 8 8 8 8 8 0 0 8 0 0 0 0 0 8 8 8 0 8 0 0 0 8 8 8 8 8 8 0 0 0 0 8 8 8 8 0 0 0 8 0 0 0 0 0 0 0 0 8 0 0 0 0 8 8 8 0 0 0 0 0 0 8 0 0 8 8 0 8 0 8 8 0 0 8 8 0 0 8 0 8 0 8 8 8 0 0 8 8 8 0 8 8 8 8 8 0 8 0 8 0 0 8 8 8 0 0 8 8 0 8 0 8 0 8 8 0 8 0 0 8 8 0 8 0 8 0 0 0 0 0 0 0 8 8 0 8 8 8 0 generates a code of length 98 over Z16 who´s minimum homogenous weight is 86. Homogenous weight enumerator: w(x)=1x^0+53x^86+102x^87+180x^88+306x^89+477x^90+636x^91+846x^92+1286x^93+1946x^94+2276x^95+3029x^96+3552x^97+3535x^98+3690x^99+3011x^100+2356x^101+1713x^102+1220x^103+872x^104+548x^105+383x^106+204x^107+174x^108+118x^109+60x^110+48x^111+60x^112+24x^113+20x^114+14x^115+17x^116+3x^118+2x^119+2x^120+2x^121+1x^130+1x^134 The gray image is a code over GF(2) with n=784, k=15 and d=344. This code was found by Heurico 1.16 in 38.9 seconds.