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 1 1 2 1 1 1 1 0 1 1 12 1 1 8 1 1 1 2 1 2 1 2 0 1 2 0 1 1 4 4 2 1 1 1 8 0 1 1 2 2 0 2 0 6 4 14 12 2 0 6 12 10 8 14 12 2 0 14 8 14 4 2 12 10 12 2 6 12 0 14 12 14 14 14 2 8 0 10 2 2 10 8 2 4 12 2 6 2 12 6 8 0 2 10 2 10 2 0 10 2 2 2 6 0 6 2 2 8 4 0 6 0 0 0 12 0 4 4 0 4 0 8 0 8 12 12 12 4 8 8 4 12 4 4 8 0 12 4 4 0 0 0 4 4 4 12 4 4 12 0 0 8 4 4 8 4 8 12 4 4 12 8 0 4 0 8 8 0 12 4 8 12 4 12 8 4 8 8 12 4 8 8 8 0 0 0 0 8 0 0 0 0 0 8 8 8 8 8 8 8 8 0 0 8 8 0 8 0 0 0 8 8 0 8 8 0 0 0 8 0 0 8 0 8 0 8 8 8 0 8 8 0 0 0 0 0 8 0 0 0 0 8 8 8 8 0 8 0 0 0 8 8 8 8 8 0 0 0 0 0 8 0 0 8 8 8 8 0 8 0 0 8 0 8 8 8 0 8 0 8 0 0 0 8 8 8 8 8 8 8 8 0 8 0 0 8 0 0 8 8 0 0 0 0 0 8 8 8 0 0 8 8 0 0 8 8 8 0 8 8 8 0 0 8 0 0 0 8 0 0 0 0 0 8 0 8 0 0 0 0 0 8 0 8 0 0 0 8 0 8 0 0 0 8 8 0 0 0 0 0 0 0 0 8 8 8 8 0 0 8 8 8 8 8 0 0 8 8 8 8 8 0 8 8 0 8 8 0 8 0 8 0 8 0 8 8 8 0 0 0 0 0 0 0 0 0 8 0 0 0 8 8 0 8 0 8 0 8 8 0 8 8 8 0 8 8 0 0 8 8 8 0 8 0 0 8 8 0 0 0 8 0 8 8 8 8 8 0 0 8 8 0 8 8 0 8 8 0 0 0 0 0 8 0 8 8 0 8 0 8 0 8 generates a code of length 72 over Z16 who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+86x^64+68x^65+260x^66+256x^67+408x^68+632x^69+808x^70+1128x^71+1090x^72+1080x^73+752x^74+592x^75+363x^76+248x^77+160x^78+72x^79+75x^80+20x^81+60x^82+20x^84+8x^86+4x^88+1x^108 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 1.99 seconds.