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 2 1 1 1 2 1 1 1 1 1 1 1 1 1 2 2 1 1 2 1 1 1 4 1 1 2 4 1 8 1 2 2 2 4 2 1 2 2 2 2 1 2 0 12 0 4 0 0 4 12 0 8 4 4 0 4 4 8 0 8 12 0 4 8 12 4 4 12 0 8 8 4 0 4 4 4 4 8 12 4 8 0 4 12 4 0 12 12 0 12 8 8 0 12 4 8 8 4 12 4 12 12 4 4 12 12 0 12 8 0 12 0 8 0 0 12 4 0 12 4 0 8 4 0 4 0 12 0 4 8 4 4 4 12 8 8 8 8 8 4 4 0 4 8 4 4 12 4 12 0 0 4 12 12 4 12 12 0 4 8 8 8 4 8 0 0 12 4 4 12 12 0 0 12 12 0 8 4 4 12 12 0 0 4 0 0 0 8 0 0 0 0 8 8 8 0 8 8 0 0 8 0 0 0 8 0 8 0 8 8 0 8 8 8 0 0 8 0 8 8 0 0 0 0 8 0 8 0 0 8 8 0 0 8 0 8 8 0 8 8 0 0 0 8 0 8 0 8 0 8 0 0 0 8 8 0 0 0 0 8 0 0 0 0 0 0 0 8 0 0 0 8 8 8 8 8 0 0 8 0 8 8 8 0 0 8 8 8 8 0 0 8 8 8 0 0 0 0 8 8 8 0 0 0 8 8 8 8 0 8 0 8 8 0 0 8 8 0 8 0 8 8 8 8 8 8 0 0 0 0 0 8 0 0 0 8 0 8 8 8 8 8 8 8 8 8 0 0 8 8 8 0 0 8 8 8 8 8 8 0 0 0 8 0 0 8 0 8 8 8 0 8 0 8 0 8 8 8 0 0 0 8 8 8 8 0 0 0 0 8 8 0 0 8 8 8 8 0 0 0 0 0 0 8 0 8 8 8 8 8 0 0 0 8 0 8 0 0 0 8 0 8 8 0 8 8 0 0 8 0 8 0 8 8 8 8 8 8 0 8 0 8 8 0 0 8 0 8 8 0 8 0 8 0 8 8 0 0 8 0 0 8 8 0 8 0 0 0 0 0 0 0 0 0 0 8 0 0 8 8 0 0 0 8 8 0 8 8 0 8 8 8 0 0 0 0 8 0 8 0 8 8 8 0 8 0 8 0 8 8 8 0 8 0 0 0 8 8 8 0 0 0 0 0 8 0 8 8 8 0 8 8 8 8 8 0 0 8 0 generates a code of length 71 over Z16 who´s minimum homogenous weight is 62. Homogenous weight enumerator: w(x)=1x^0+108x^62+48x^63+225x^64+32x^65+274x^66+224x^67+505x^68+480x^69+2020x^70+480x^71+2014x^72+480x^73+452x^74+224x^75+194x^76+32x^77+151x^78+48x^79+110x^80+56x^82+20x^84+8x^86+1x^88+2x^90+1x^94+1x^100+1x^104 The gray image is a code over GF(2) with n=568, k=13 and d=248. This code was found by Heurico 1.16 in 3.56 seconds.