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 12 1 2 0 4 2 2 2 12 8 2 1 1 1 1 1 2 1 12 1 1 1 12 8 1 2 2 1 2 1 1 2 1 1 2 4 2 12 0 2 1 1 0 1 1 0 2 1 4 1 0 1 1 1 1 1 1 0 2 0 0 0 2 14 10 4 10 10 4 4 6 10 8 2 8 12 14 8 10 0 6 4 0 2 2 6 4 0 2 2 10 4 2 2 10 8 0 12 2 2 10 14 10 14 0 12 0 4 6 12 6 2 0 6 8 4 14 14 4 0 8 2 8 6 2 6 2 2 6 0 2 2 4 12 4 14 10 0 12 2 10 0 0 0 0 0 0 0 2 0 2 2 2 0 14 6 4 0 4 14 4 10 2 8 2 0 2 14 0 10 6 8 12 0 10 2 4 10 2 12 10 4 4 8 14 0 2 8 2 10 0 2 12 10 10 14 2 0 12 10 12 2 10 2 0 8 12 0 12 0 4 14 2 6 12 0 2 8 8 14 4 0 14 2 12 0 2 10 2 0 8 0 0 0 0 0 0 0 2 2 4 2 6 8 12 8 0 2 2 2 14 8 14 12 0 10 6 4 8 8 6 6 8 2 10 0 14 4 2 12 8 14 4 6 14 14 12 2 6 6 4 4 8 0 6 4 0 4 10 10 0 14 2 14 8 10 2 14 2 10 4 12 4 12 0 14 2 12 10 8 6 6 6 12 12 6 8 6 10 8 0 0 0 0 0 0 0 0 4 4 12 8 12 12 12 4 4 8 8 12 0 0 4 4 0 4 4 8 8 4 4 0 8 0 0 0 0 4 0 4 8 12 0 8 4 8 12 0 12 12 12 4 0 8 4 8 8 4 12 12 12 12 12 4 8 8 0 0 0 8 0 12 0 8 0 8 8 4 12 8 8 12 12 8 8 8 4 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 8 8 8 8 8 8 8 0 8 8 0 8 0 0 8 0 8 8 8 8 8 0 0 0 8 8 8 8 8 8 0 8 8 8 8 8 0 0 0 0 8 8 8 0 8 0 0 8 0 8 8 8 0 0 8 0 8 0 8 8 8 8 8 0 0 0 0 0 0 8 0 0 0 0 0 0 generates a code of length 89 over Z16 who´s minimum homogenous weight is 74. Homogenous weight enumerator: w(x)=1x^0+47x^74+32x^75+129x^76+80x^77+247x^78+426x^79+670x^80+938x^81+1302x^82+1678x^83+2593x^84+3768x^85+4417x^86+5776x^87+7012x^88+7390x^89+6662x^90+6030x^91+4901x^92+3524x^93+2603x^94+1734x^95+1131x^96+764x^97+566x^98+338x^99+267x^100+162x^101+116x^102+104x^103+56x^104+12x^105+31x^106+10x^107+6x^108+2x^109+8x^110+2x^112+1x^118 The gray image is a code over GF(2) with n=712, k=16 and d=296. This code was found by Heurico 1.16 in 99.8 seconds.