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 1 1 2 1 1 1 1 0 1 1 1 12 1 1 1 2 1 1 1 1 1 0 2 1 1 8 4 1 1 8 1 2 1 1 4 2 1 8 2 0 2 0 6 4 14 12 2 0 6 12 10 8 14 12 2 0 14 8 14 4 2 12 12 10 2 6 12 0 14 12 14 14 14 2 10 8 0 2 2 8 10 10 2 0 8 12 6 6 14 6 14 6 2 10 14 10 2 2 10 8 2 6 0 8 8 4 14 10 2 4 0 0 12 0 4 4 0 4 0 8 0 8 12 12 12 4 8 8 4 12 4 4 8 12 0 4 4 0 0 0 4 4 4 12 4 0 4 4 0 8 4 4 0 8 8 8 4 0 8 12 4 0 0 8 0 0 4 4 4 4 8 4 8 12 4 12 12 12 8 12 4 0 0 0 8 0 0 0 0 0 8 8 8 8 8 8 8 8 0 0 8 8 0 8 0 0 0 8 8 0 8 8 0 0 0 8 0 8 8 0 8 0 0 8 0 0 8 8 8 8 0 8 8 0 0 0 0 8 8 0 0 0 0 8 0 8 8 0 0 0 8 0 0 0 0 0 8 0 0 8 8 8 8 0 8 0 0 8 0 8 8 8 0 8 0 0 8 0 0 8 8 8 8 8 8 8 8 0 0 0 0 8 0 0 0 8 8 0 8 0 8 0 8 0 8 8 8 8 0 0 0 0 0 8 0 0 8 8 8 0 8 8 8 0 0 0 0 0 8 0 8 0 0 0 0 0 8 0 8 0 0 0 8 0 8 0 0 0 8 8 0 0 0 0 0 0 0 0 8 8 8 8 0 8 0 8 8 8 8 8 0 8 0 0 8 8 8 0 8 8 0 0 8 8 0 8 8 8 8 0 8 0 8 8 0 0 0 0 0 0 8 0 0 0 8 8 0 8 0 8 0 8 8 0 8 8 8 8 0 8 0 0 8 8 8 0 8 0 0 8 8 0 0 0 8 8 0 0 8 0 8 0 0 0 0 0 0 8 8 8 0 8 8 0 0 8 8 8 8 0 8 0 0 0 0 generates a code of length 71 over Z16 who´s minimum homogenous weight is 63. Homogenous weight enumerator: w(x)=1x^0+70x^63+107x^64+232x^65+231x^66+342x^67+528x^68+996x^69+924x^70+1358x^71+1016x^72+1006x^73+427x^74+340x^75+239x^76+158x^77+61x^78+58x^79+22x^80+34x^81+18x^82+6x^83+5x^84+6x^85+3x^86+2x^87+1x^88+1x^112 The gray image is a code over GF(2) with n=568, k=13 and d=252. This code was found by Heurico 1.16 in 1.94 seconds.