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 2 8 2 2 1 0 2 1 1 1 4 2 1 1 1 2 1 2 1 8 8 2 1 1 1 0 2 1 8 2 1 2 2 1 2 2 1 0 2 0 6 0 6 8 10 8 6 8 2 14 8 2 8 8 8 6 10 10 2 12 0 0 12 10 14 2 14 14 10 2 14 12 14 8 2 6 2 4 2 6 10 10 10 2 2 10 12 8 2 0 6 12 4 8 14 2 4 4 12 8 0 0 0 12 0 0 0 12 0 0 0 8 8 0 8 8 8 0 8 12 12 4 4 12 12 12 12 4 0 4 8 0 12 12 12 12 12 4 4 8 12 4 8 8 4 12 4 8 4 8 0 0 12 4 4 8 12 12 12 8 12 12 0 12 12 0 0 0 12 0 0 0 4 0 0 0 0 4 4 12 12 12 4 12 4 8 8 4 4 4 8 12 8 12 0 12 12 12 0 12 8 0 12 12 0 4 4 0 4 8 4 12 0 12 12 8 4 12 0 4 12 8 8 8 12 0 8 4 8 0 0 0 0 12 0 4 0 8 4 4 4 12 4 12 0 12 8 8 12 0 12 12 8 8 12 8 4 12 8 12 12 8 8 0 8 0 4 8 4 0 8 0 12 12 8 8 8 4 4 0 0 4 8 4 4 8 12 12 0 8 12 4 4 0 0 0 0 0 12 0 12 12 4 4 0 8 12 12 12 8 0 8 4 12 4 12 12 0 12 4 0 0 4 12 0 0 8 12 8 4 8 4 8 8 8 12 12 0 0 8 8 0 0 8 12 8 12 0 0 0 4 0 4 4 0 4 8 generates a code of length 64 over Z16 who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+68x^54+152x^55+265x^56+456x^57+654x^58+1096x^59+1593x^60+2330x^61+3397x^62+4208x^63+4547x^64+4206x^65+3335x^66+2288x^67+1570x^68+1020x^69+546x^70+396x^71+271x^72+160x^73+77x^74+48x^75+41x^76+18x^77+12x^78+4x^79+2x^81+6x^82+1x^86 The gray image is a code over GF(2) with n=512, k=15 and d=216. This code was found by Heurico 1.16 in 21.9 seconds.