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 2 1 2 1 1 1 1 1 2 1 1 1 1 2 1 4 1 1 2 1 1 1 1 2 1 1 1 2 1 1 8 1 1 1 4 4 1 1 1 2 1 1 1 1 4 1 2 1 4 1 1 2 1 2 1 2 2 2 2 1 2 2 1 0 12 0 0 0 0 0 0 0 4 12 12 4 4 8 12 12 0 8 12 4 12 0 12 8 4 0 12 4 12 8 0 8 4 4 12 4 4 0 8 8 0 8 8 4 12 12 12 8 8 0 8 0 8 12 4 12 8 8 8 4 12 8 4 4 8 8 4 0 8 8 4 8 8 12 8 8 0 12 0 12 4 4 8 4 0 4 8 8 4 4 4 0 0 8 0 0 0 12 0 0 0 4 12 12 4 4 0 8 4 0 12 8 8 4 8 4 8 4 0 4 0 12 4 4 12 0 8 0 4 4 8 0 12 0 4 0 4 4 4 0 8 8 12 4 0 0 8 4 8 12 8 0 4 8 12 12 12 4 0 12 12 4 8 4 0 12 0 4 12 0 12 8 0 8 8 8 4 8 12 12 0 0 12 0 0 8 8 8 12 12 0 0 0 0 12 0 4 4 4 0 8 0 8 12 4 0 4 12 8 12 8 12 12 0 0 8 12 12 0 0 12 4 12 12 0 0 0 8 4 12 4 8 8 12 8 12 4 4 12 4 4 0 0 8 8 12 0 8 0 0 12 4 8 12 8 8 8 12 12 0 0 12 4 8 4 0 0 12 4 0 12 4 4 0 8 4 4 4 4 0 0 0 8 0 8 4 0 0 0 0 0 12 4 8 4 4 0 4 4 0 4 8 8 4 12 12 8 4 4 0 12 4 8 0 8 4 8 8 4 12 8 12 0 12 8 8 4 12 4 0 12 12 0 4 8 12 4 8 4 4 0 12 0 0 0 0 0 12 8 0 4 4 0 4 0 4 0 12 4 8 12 4 8 0 4 4 8 12 12 8 8 0 8 12 0 4 4 12 4 12 12 0 0 0 0 0 0 0 8 8 0 8 8 8 0 8 0 8 0 0 8 8 8 8 8 8 8 0 0 0 0 0 8 8 0 8 8 0 0 0 8 8 8 0 8 8 8 8 8 0 0 0 0 0 0 0 0 8 8 0 8 8 8 0 0 0 8 0 0 0 0 0 0 8 0 8 8 8 0 0 0 8 0 8 8 0 0 0 8 8 8 8 8 8 0 8 0 8 0 generates a code of length 96 over Z16 who´s minimum homogenous weight is 86. Homogenous weight enumerator: w(x)=1x^0+58x^86+70x^87+119x^88+148x^89+173x^90+278x^91+301x^92+484x^93+864x^94+1140x^95+1204x^96+1122x^97+800x^98+424x^99+238x^100+186x^101+137x^102+116x^103+64x^104+42x^105+54x^106+32x^107+42x^108+26x^109+21x^110+18x^111+12x^112+8x^113+4x^114+2x^115+3x^116+1x^146 The gray image is a code over GF(2) with n=768, k=13 and d=344. This code was found by Heurico 1.16 in 3.53 seconds.