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 2 1 0 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 12 1 1 1 1 1 1 1 1 2 1 0 1 1 1 1 1 2 1 12 0 2 1 1 12 2 0 0 1 2 2 0 2 12 6 0 6 12 10 0 6 12 10 10 4 6 0 14 8 10 12 6 0 6 10 2 12 8 14 2 4 6 0 12 10 2 10 12 10 0 0 10 2 6 4 6 14 12 10 2 2 6 14 2 0 8 14 10 2 10 12 2 2 8 10 6 2 6 2 2 0 6 6 0 0 8 0 0 0 0 0 0 0 8 0 0 0 8 8 8 8 0 8 0 8 8 8 0 0 8 8 8 0 8 8 0 0 0 8 8 0 8 0 8 8 8 8 8 8 8 8 0 8 0 8 8 0 0 8 8 8 0 8 8 8 0 8 0 8 8 8 8 8 0 8 0 0 0 8 0 0 0 0 0 8 8 0 0 8 8 8 0 8 8 8 8 0 0 0 8 8 0 8 8 8 0 0 0 8 0 8 0 8 0 8 8 0 8 8 0 0 8 8 0 0 0 8 8 8 0 0 0 8 8 0 8 8 0 0 8 0 8 8 0 8 0 8 0 0 0 0 8 0 0 0 8 0 0 8 8 0 0 8 0 8 0 8 0 8 0 0 0 8 0 0 8 0 8 8 8 0 8 0 8 8 8 0 0 0 8 8 8 8 8 8 0 0 8 8 0 8 0 0 0 0 0 0 8 0 0 8 8 0 8 8 0 8 0 0 0 0 0 0 0 8 0 0 0 8 0 8 8 0 0 0 8 0 0 8 0 8 8 8 8 8 8 8 0 0 0 8 0 0 8 0 0 0 8 0 0 8 8 8 0 8 0 8 8 0 0 8 0 8 8 0 8 0 8 8 8 0 8 0 0 8 0 8 0 8 8 0 0 0 0 0 0 0 8 0 8 0 8 0 0 0 8 0 8 8 8 0 8 8 8 0 8 8 0 0 8 0 0 0 0 0 8 0 0 8 8 8 0 8 0 8 8 0 0 8 0 8 8 0 8 0 0 0 8 0 8 0 8 8 8 0 0 0 8 0 8 0 0 8 0 0 0 0 0 0 0 8 0 0 8 8 0 8 8 0 8 0 8 0 0 8 0 8 8 8 8 8 8 0 8 8 8 8 0 0 8 8 0 0 8 0 8 8 0 8 8 0 8 8 8 0 8 0 0 0 8 0 0 0 0 0 0 0 0 8 0 8 0 8 8 0 generates a code of length 72 over Z16 who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+118x^64+60x^65+200x^66+224x^67+357x^68+680x^69+652x^70+1344x^71+988x^72+1344x^73+612x^74+672x^75+358x^76+216x^77+180x^78+64x^79+70x^80+4x^81+20x^82+17x^84+2x^88+4x^92+4x^96+1x^112 The gray image is a code over GF(2) with n=576, k=13 and d=256. This code was found by Heurico 1.16 in 2 seconds.