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 2 2 2 2 4 2 2 1 1 0 1 2 4 1 2 1 1 1 1 4 1 1 2 0 2 1 2 2 2 1 1 2 4 0 12 0 4 0 0 4 12 0 0 12 12 0 8 12 8 12 0 4 12 12 0 4 8 8 8 12 12 4 0 12 8 12 4 12 12 4 8 0 4 4 8 8 4 4 0 12 4 8 0 8 12 8 4 4 12 8 0 4 0 12 8 4 0 0 0 12 4 0 12 4 0 0 12 12 8 8 12 4 4 0 8 4 4 0 4 4 8 4 8 0 0 0 12 12 4 8 12 0 0 12 4 4 8 0 12 4 4 12 4 8 4 12 8 4 8 4 12 0 8 0 12 12 12 12 0 12 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 8 8 8 8 8 0 0 0 8 0 0 8 8 0 8 8 0 8 0 8 0 0 0 8 0 8 8 8 0 0 0 8 0 8 0 0 0 8 8 8 8 8 0 0 0 0 0 8 0 0 0 0 0 0 8 0 0 8 8 8 8 0 8 8 0 8 8 0 8 0 8 8 0 8 8 8 8 8 8 0 8 0 8 0 0 0 0 8 8 8 0 8 8 0 0 8 0 0 8 0 8 0 8 8 0 8 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 0 8 8 0 0 8 8 0 8 8 8 0 0 8 0 0 8 0 0 8 0 8 8 0 0 8 8 0 8 8 8 8 0 8 8 8 0 0 0 8 8 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 0 0 8 8 8 8 0 8 8 8 0 0 0 8 8 8 8 8 8 8 8 0 8 8 8 8 0 8 0 0 0 8 0 8 8 8 0 0 0 8 8 8 0 8 8 0 0 8 0 0 0 0 0 0 0 8 0 0 8 0 8 8 0 0 0 8 8 0 8 0 8 8 0 0 0 8 8 8 0 0 8 0 8 8 8 0 0 0 8 0 8 0 0 8 8 8 0 0 8 8 8 8 8 0 8 0 8 0 8 0 0 8 0 0 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 0 0 8 8 8 8 8 8 8 8 0 0 8 8 8 0 8 8 8 0 8 8 8 8 8 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 8 8 0 8 8 8 0 8 8 8 8 0 8 8 0 0 0 0 8 0 8 0 8 0 8 0 8 8 0 0 0 8 8 8 8 8 0 0 0 0 8 0 0 8 0 0 generates a code of length 64 over Z16 who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+173x^52+8x^53+250x^54+36x^55+593x^56+144x^57+770x^58+372x^59+1633x^60+624x^61+5824x^62+840x^63+10059x^64+896x^65+6044x^66+648x^67+1683x^68+328x^69+690x^70+148x^71+510x^72+48x^73+226x^74+4x^75+147x^76+20x^78+36x^80+12x^84+1x^88 The gray image is a code over GF(2) with n=512, k=15 and d=208. This code was found by Heurico 1.16 in 28.2 seconds.