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 1 1 1 1 1 1 1 1 1 1 2 4 4 2 2 2 1 2 2 4 2 4 1 1 1 1 2 2 1 1 1 1 0 12 0 0 0 0 0 0 0 0 0 8 4 4 4 8 12 0 12 12 4 8 8 8 4 0 12 4 12 4 4 0 12 8 12 8 0 4 12 4 4 0 8 4 12 8 12 4 4 12 12 8 8 12 4 8 0 4 4 12 12 0 4 0 0 12 0 0 0 0 0 0 0 0 12 8 12 4 4 12 4 4 0 8 0 12 12 4 4 0 12 8 0 12 8 8 0 0 12 4 0 12 0 8 12 4 8 12 4 8 8 4 12 4 8 4 12 8 8 8 4 0 4 12 4 0 0 0 0 12 0 0 0 4 12 12 8 4 12 0 12 4 8 0 12 12 8 12 8 12 0 4 12 8 8 8 0 4 0 12 4 8 4 8 4 4 4 8 0 8 4 4 4 12 0 0 8 12 8 12 8 4 4 12 4 4 12 8 4 0 0 0 0 12 0 4 4 4 0 8 0 0 0 0 0 0 8 8 12 4 4 4 4 12 12 8 4 4 8 0 0 8 8 8 4 8 0 8 12 8 4 4 8 0 12 12 0 12 12 0 12 8 12 8 4 8 8 12 12 12 8 4 0 0 0 0 0 12 4 8 4 4 0 0 0 0 0 4 4 4 12 0 8 0 4 8 0 4 8 12 12 4 8 12 12 8 4 8 0 0 8 4 4 4 4 12 8 0 8 4 4 0 4 12 8 8 0 8 12 0 8 8 12 8 12 0 0 0 0 0 0 8 8 0 8 8 8 8 8 0 8 8 0 0 8 0 0 0 8 0 0 0 8 8 0 0 0 8 0 0 0 0 8 8 8 8 8 0 0 8 8 8 8 8 8 8 8 8 8 0 0 8 0 8 0 8 8 8 generates a code of length 63 over Z16 who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+147x^52+500x^54+4x^55+713x^56+124x^57+980x^58+360x^59+2337x^60+2492x^61+5696x^62+6352x^63+5424x^64+2420x^65+2382x^66+440x^67+1026x^68+84x^69+610x^70+12x^71+381x^72+182x^74+81x^76+18x^78+1x^80+1x^100 The gray image is a code over GF(2) with n=504, k=15 and d=208. This code was found by Heurico 1.16 in 26.9 seconds.