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 2 1 0 1 8 2 4 2 12 2 12 2 1 1 1 1 1 2 1 4 1 8 1 2 1 1 0 1 1 8 4 2 1 1 0 2 0 2 0 0 6 6 4 14 2 4 12 14 2 12 2 4 4 10 14 6 12 0 0 8 10 2 10 2 6 2 14 2 12 8 4 4 6 14 2 8 2 6 2 14 6 6 2 2 12 2 12 12 12 8 0 0 0 2 2 12 6 6 0 4 4 14 2 0 2 12 6 10 4 2 4 2 0 10 6 0 2 8 12 6 2 6 6 4 14 6 4 8 8 14 6 4 2 4 12 10 10 8 0 10 0 10 4 2 2 10 4 0 0 0 0 8 0 0 0 0 0 0 8 8 8 8 8 8 0 0 8 0 0 8 8 0 8 8 0 8 0 0 0 8 8 8 8 0 0 0 0 8 8 0 8 0 8 8 8 8 0 8 0 0 8 8 0 8 0 0 0 0 0 8 0 0 0 8 0 0 0 8 8 8 8 0 8 0 0 8 8 0 0 0 0 8 8 8 8 0 0 8 0 0 0 0 8 8 8 8 0 8 0 8 0 0 8 0 0 0 8 0 8 0 8 0 0 0 0 0 0 8 0 0 0 8 8 8 0 8 8 8 8 8 0 8 8 8 0 0 8 0 0 0 8 0 0 0 0 8 8 0 0 0 8 8 0 0 8 8 0 8 0 8 8 0 0 0 8 0 8 8 0 0 0 0 0 0 0 8 0 0 0 0 8 8 0 8 8 8 0 8 0 8 8 8 0 8 8 0 8 0 0 8 0 8 0 0 8 8 8 0 0 0 8 0 8 0 8 8 0 0 0 8 0 8 0 0 0 0 0 0 0 0 0 0 0 8 8 0 8 8 0 0 0 8 8 0 8 8 0 8 0 8 8 0 8 0 0 8 8 8 8 0 0 0 8 0 0 8 0 0 0 8 0 8 0 8 0 8 8 0 0 8 0 0 8 generates a code of length 57 over Z16 who´s minimum homogenous weight is 48. Homogenous weight enumerator: w(x)=1x^0+70x^48+172x^49+344x^50+808x^51+692x^52+1852x^53+2049x^54+3960x^55+4009x^56+4968x^57+4031x^58+3796x^59+2124x^60+2008x^61+636x^62+596x^63+243x^64+204x^65+86x^66+52x^67+24x^68+12x^69+17x^70+4x^71+5x^72+3x^74+2x^78 The gray image is a code over GF(2) with n=456, k=15 and d=192. This code was found by Heurico 1.16 in 16.5 seconds.