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 2 2 1 2 1 1 2 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 4 1 1 2 1 0 2 1 1 2 1 1 1 4 1 2 0 1 2 1 4 0 4 1 1 1 2 0 1 1 2 4 4 1 2 2 1 1 0 12 0 12 0 12 0 12 0 4 8 12 0 12 0 12 8 12 8 4 0 4 12 8 8 8 12 0 4 4 4 12 12 0 12 8 12 12 0 12 0 12 12 12 0 0 8 12 4 8 4 4 12 12 4 0 4 12 12 4 12 4 8 0 8 4 12 0 0 12 8 8 8 12 4 4 4 0 12 0 12 4 12 4 0 8 4 4 0 0 12 12 12 4 12 12 8 0 0 0 8 0 0 0 0 0 0 0 8 0 8 0 0 0 8 8 0 8 8 8 8 8 8 0 8 0 0 8 0 8 0 8 0 8 0 8 0 8 8 8 8 0 8 8 8 0 0 0 0 0 8 8 8 8 0 8 0 0 0 8 0 0 8 0 0 8 0 0 8 0 8 0 0 0 0 8 0 8 0 8 0 0 8 0 8 8 0 8 8 0 0 0 0 0 8 0 0 0 0 8 0 0 0 0 0 8 0 0 0 8 0 8 0 8 0 8 8 0 8 8 8 8 8 8 0 0 0 8 8 8 8 0 0 0 0 0 8 0 8 0 8 0 0 8 8 0 0 8 0 0 8 0 0 0 0 8 8 8 8 0 8 8 8 0 0 0 0 8 0 8 8 0 8 0 0 8 8 0 0 8 8 8 8 0 8 0 0 0 0 8 0 0 8 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 8 8 0 0 8 8 8 0 8 8 0 0 8 8 8 8 0 8 0 8 0 0 8 8 8 0 8 0 0 0 0 8 0 0 0 0 8 8 8 0 0 8 8 0 0 0 8 0 0 8 0 8 8 0 0 8 0 8 8 8 8 0 8 8 0 0 0 8 8 0 0 8 8 8 8 0 8 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 0 8 0 8 0 0 0 8 8 0 0 0 8 0 8 0 0 0 8 8 8 8 8 0 8 8 8 0 0 0 8 8 0 0 8 8 0 0 8 8 0 8 8 8 8 8 8 0 0 8 8 0 0 0 0 0 8 0 0 8 8 0 0 8 0 0 8 0 0 8 8 0 0 8 8 8 8 8 8 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 8 8 8 8 0 0 0 8 0 8 8 8 0 8 8 0 0 0 0 0 0 8 0 0 0 0 8 0 0 8 8 8 0 8 8 8 8 0 8 0 8 8 0 0 8 0 8 8 0 0 0 8 0 8 8 8 8 0 8 0 8 0 8 0 0 0 8 0 8 8 0 0 8 0 0 0 8 0 0 8 8 8 8 0 0 0 0 0 0 0 0 8 0 8 0 8 0 0 8 0 8 8 0 8 8 0 0 8 0 8 8 0 8 8 0 0 0 8 8 8 8 0 0 0 0 8 8 0 8 0 8 0 8 0 8 8 0 0 0 8 0 8 8 0 0 8 0 8 0 8 8 0 8 8 0 0 8 8 0 8 0 8 0 8 0 0 0 8 8 0 8 0 0 0 0 0 8 0 8 8 8 8 0 0 0 0 0 0 0 0 8 0 8 8 8 8 8 0 8 8 8 8 0 0 0 0 0 8 8 0 8 8 8 8 8 8 0 8 0 8 0 0 8 0 8 0 8 8 8 8 8 8 8 8 8 8 0 8 8 0 8 8 8 8 0 0 8 0 8 0 8 0 0 8 8 8 8 8 8 8 8 8 8 8 0 0 0 0 8 0 8 0 8 8 8 8 0 8 0 8 generates a code of length 98 over Z16 who´s minimum homogenous weight is 86. Homogenous weight enumerator: w(x)=1x^0+23x^86+2x^87+100x^88+64x^89+127x^90+108x^91+256x^92+108x^93+635x^94+112x^95+1464x^96+116x^97+2046x^98+132x^99+1456x^100+108x^101+594x^102+110x^103+217x^104+92x^105+102x^106+48x^107+63x^108+24x^109+29x^110+15x^112+17x^114+6x^116+5x^118+3x^120+3x^122+3x^124+2x^126+1x^146 The gray image is a code over GF(2) with n=784, k=13 and d=344. This code was found by Heurico 1.16 in 4.14 seconds.