The generator matrix 1 0 1 1 1 6 1 1 12 1 10 1 1 1 0 1 6 1 1 1 12 1 1 10 1 1 1 1 10 1 0 1 1 6 1 12 1 1 1 1 1 1 1 1 6 1 1 1 1 0 1 1 10 1 1 12 6 1 2 1 1 1 1 1 0 1 3 6 5 1 12 15 1 10 1 9 3 0 1 6 1 5 9 12 1 15 10 1 3 5 15 0 1 9 1 6 10 1 3 1 12 5 15 6 5 15 5 15 1 14 0 6 12 2 10 12 1 4 13 1 1 5 1 13 9 5 6 6 0 0 8 0 0 0 0 0 0 0 0 8 0 8 8 8 8 8 8 8 8 0 8 8 0 0 0 8 0 0 0 8 8 0 8 0 0 8 0 8 0 8 8 0 8 0 8 0 0 0 8 8 8 0 0 0 8 8 0 0 8 8 0 0 0 0 0 8 0 0 0 8 0 0 8 0 8 8 8 0 8 8 0 8 8 0 8 0 8 0 8 8 0 0 0 0 0 8 0 8 8 8 8 8 8 8 0 0 0 0 0 0 8 0 0 8 8 0 0 8 0 8 0 8 8 0 8 0 0 0 0 0 8 0 0 0 0 0 0 8 8 0 8 0 8 0 8 8 0 8 8 0 8 0 8 0 8 0 8 8 8 0 0 8 8 0 0 8 0 8 0 8 8 8 0 8 8 0 8 0 0 0 8 8 8 8 0 8 8 8 0 0 0 0 0 0 0 8 0 8 0 8 0 0 8 0 8 8 8 8 0 8 0 0 8 8 8 8 0 0 0 8 8 0 8 0 8 8 8 0 0 8 0 0 8 8 0 0 0 0 0 8 8 8 8 8 8 8 8 0 0 8 0 8 8 0 0 0 0 0 0 0 8 8 8 8 8 8 0 0 0 8 8 8 0 0 8 8 8 0 8 8 8 8 0 0 8 8 0 0 8 8 0 0 8 0 0 8 0 0 0 8 8 0 8 8 8 8 8 0 8 0 8 8 0 8 0 8 0 8 generates a code of length 64 over Z16 who´s minimum homogenous weight is 57. Homogenous weight enumerator: w(x)=1x^0+24x^57+158x^58+102x^59+674x^60+372x^61+1378x^62+522x^63+1737x^64+544x^65+1395x^66+378x^67+642x^68+68x^69+132x^70+22x^71+12x^72+16x^73+4x^74+3x^76+2x^78+2x^80+3x^82+1x^92 The gray image is a code over GF(2) with n=512, k=13 and d=228. This code was found by Heurico 1.16 in 0.949 seconds.