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 2 0 2 1 8 1 1 0 2 1 4 1 1 2 1 8 1 2 1 0 1 2 2 1 12 1 1 1 1 8 8 1 2 1 1 1 2 1 1 1 12 1 2 1 1 1 2 0 1 1 2 4 0 2 0 6 0 6 4 2 8 14 6 4 12 4 10 2 0 6 12 10 4 8 6 14 4 10 14 2 6 2 2 12 14 2 14 14 2 12 0 6 2 2 0 10 4 2 4 2 14 2 2 8 0 4 14 2 2 2 14 14 4 8 6 14 4 12 2 14 6 4 8 6 2 8 6 14 6 8 0 0 12 0 0 0 4 0 12 0 0 12 8 0 0 0 8 4 4 4 8 4 12 12 8 12 12 8 12 8 4 0 8 12 0 0 0 12 0 12 4 0 8 12 0 8 4 8 0 4 0 8 12 0 12 0 12 4 8 12 12 8 4 0 4 12 12 8 12 8 0 12 8 0 12 8 8 0 0 0 0 12 0 0 0 4 0 8 4 0 0 0 4 0 12 4 4 8 4 12 8 12 0 4 12 12 12 8 4 8 0 0 8 12 0 12 12 8 4 8 0 4 12 0 0 12 4 0 8 4 0 8 4 12 0 4 0 8 8 8 8 4 12 12 0 8 0 4 4 8 8 8 4 0 0 4 0 0 0 0 12 0 0 8 4 12 4 4 4 8 12 12 4 8 0 12 0 12 12 4 12 8 12 12 8 0 4 0 4 12 12 4 4 12 0 4 12 12 12 8 4 8 8 0 8 0 8 4 4 8 0 8 12 4 12 0 4 4 12 8 0 8 12 12 8 8 12 0 12 4 0 4 8 8 0 0 0 0 0 8 0 8 0 8 0 0 0 0 8 0 0 8 0 0 8 8 0 0 8 0 0 0 8 8 8 8 8 0 0 8 8 8 0 8 8 8 8 8 8 8 8 0 0 8 8 0 8 8 8 8 8 8 8 8 8 8 8 0 8 0 0 0 8 8 0 0 8 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 8 8 8 0 0 0 0 0 0 0 0 8 8 8 0 0 0 0 8 8 8 8 8 8 8 0 8 0 0 8 8 0 8 0 0 0 8 0 0 8 8 8 0 8 8 8 0 0 8 8 8 8 8 0 8 0 0 8 8 8 0 0 0 8 8 8 0 generates a code of length 78 over Z16 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+239x^68+12x^69+554x^70+184x^71+1245x^72+632x^73+2567x^74+1336x^75+4912x^76+1936x^77+5849x^78+1928x^79+4702x^80+1352x^81+2534x^82+616x^83+1098x^84+164x^85+528x^86+32x^87+157x^88+111x^90+53x^92+13x^94+7x^96+4x^98+1x^100+1x^108 The gray image is a code over GF(2) with n=624, k=15 and d=272. This code was found by Heurico 1.16 in 29.4 seconds.