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 1 1 1 2 2 2 1 2 1 1 1 4 1 2 1 4 2 1 4 8 1 1 2 2 4 2 1 1 1 1 2 2 1 0 4 2 4 4 4 0 12 0 0 0 4 12 4 0 8 4 12 0 8 12 0 4 4 8 4 12 12 8 4 12 12 8 0 12 12 4 12 0 0 0 12 12 4 12 8 0 12 8 0 4 0 4 0 4 4 12 0 4 8 8 12 12 8 8 8 8 0 8 8 0 12 8 4 0 0 12 12 0 0 12 0 4 4 12 0 0 0 4 8 4 4 0 8 4 4 12 8 12 0 8 4 4 0 12 8 8 0 0 8 12 4 4 4 0 12 4 4 4 4 8 4 12 0 4 4 8 8 0 4 12 0 0 12 0 0 0 8 0 8 8 8 0 12 4 4 8 4 8 0 0 0 0 12 4 0 12 4 0 4 12 8 12 0 4 8 8 8 4 0 4 4 12 0 4 4 8 4 4 8 4 8 8 12 8 8 0 0 4 8 12 4 0 12 0 0 8 8 12 4 12 4 0 8 0 4 0 4 4 12 4 12 4 12 4 4 0 8 12 12 0 0 0 0 0 0 8 0 0 0 8 0 8 8 0 0 0 0 8 8 8 0 8 8 0 8 0 0 0 8 8 0 0 0 8 8 0 0 0 8 0 0 0 8 0 8 8 0 0 0 8 8 8 0 0 8 8 8 8 8 0 8 8 0 8 8 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 8 8 8 0 8 0 8 8 0 8 8 0 8 8 0 0 8 0 8 8 8 0 0 8 0 8 0 0 8 8 0 8 0 0 8 8 0 0 8 8 0 8 8 8 8 0 0 0 8 8 8 8 0 8 0 0 0 0 8 0 8 8 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 8 8 0 0 8 8 8 8 0 8 0 8 0 8 0 0 8 8 8 8 8 8 0 8 0 8 0 8 0 0 0 0 8 0 0 0 0 8 0 8 0 8 8 0 8 8 8 8 8 0 8 0 8 8 0 0 0 8 0 0 0 0 0 0 0 8 8 8 0 8 0 0 0 0 0 8 0 8 8 0 8 8 0 0 0 0 0 8 8 8 0 8 8 0 8 8 0 8 0 0 8 0 0 8 0 8 8 8 8 8 8 0 0 0 0 0 0 8 0 0 8 8 8 0 0 8 0 0 8 0 generates a code of length 72 over Z16 who´s minimum homogenous weight is 62. Homogenous weight enumerator: w(x)=1x^0+159x^62+4x^63+395x^64+48x^65+612x^66+188x^67+1277x^68+300x^69+3102x^70+484x^71+3445x^72+492x^73+3044x^74+308x^75+1174x^76+164x^77+546x^78+40x^79+265x^80+20x^81+174x^82+84x^84+40x^86+13x^88+2x^90+1x^94+1x^96+1x^100 The gray image is a code over GF(2) with n=576, k=14 and d=248. This code was found by Heurico 1.16 in 9.22 seconds.