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 2 2 1 2 2 4 4 1 4 4 2 4 0 1 1 8 1 1 2 1 1 2 2 0 12 0 0 0 4 12 4 0 8 0 12 0 0 12 12 4 0 8 8 4 12 12 4 0 8 12 4 12 8 4 0 8 0 4 4 4 4 8 12 8 4 4 4 12 12 4 8 4 4 4 8 0 0 12 0 4 0 0 12 0 4 4 12 0 0 0 12 8 0 12 4 0 12 8 12 12 8 0 4 4 12 4 12 8 0 8 0 12 8 8 0 8 4 4 12 8 8 0 4 8 4 4 0 12 0 4 0 4 12 8 8 12 4 0 0 0 12 4 0 12 4 0 4 12 12 8 8 4 8 0 4 4 0 0 12 8 12 12 4 0 4 0 0 4 0 4 4 12 12 8 8 4 0 12 4 8 4 4 12 8 0 12 0 12 12 4 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 8 8 0 0 8 8 0 8 0 8 8 0 8 8 8 8 0 0 0 0 8 0 0 8 8 0 0 8 0 8 0 0 0 8 8 0 8 8 0 8 8 8 0 0 0 0 0 8 0 0 0 0 8 8 8 0 8 0 8 0 0 0 0 0 0 8 0 8 0 0 0 8 8 0 8 8 8 0 0 8 8 0 8 8 8 0 0 0 0 0 8 8 0 8 8 0 0 8 0 0 0 0 0 0 0 8 0 0 8 8 8 0 0 0 8 8 0 0 0 0 8 0 0 8 8 8 0 8 8 8 8 0 8 8 8 8 0 0 0 0 8 0 0 8 0 8 0 8 8 8 8 8 0 0 0 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 0 8 8 0 8 0 8 0 8 8 8 8 0 0 0 0 0 0 0 0 8 0 0 0 0 8 8 8 0 8 0 0 8 0 0 8 8 0 0 0 0 8 8 0 0 8 0 0 8 8 8 0 0 0 0 8 8 8 8 8 8 8 8 8 8 8 8 0 8 generates a code of length 57 over Z16 who´s minimum homogenous weight is 46. Homogenous weight enumerator: w(x)=1x^0+139x^46+407x^48+16x^49+729x^50+112x^51+1121x^52+800x^53+2684x^54+2960x^55+5109x^56+4512x^57+5180x^58+2960x^59+2808x^60+800x^61+1139x^62+112x^63+642x^64+16x^65+313x^66+134x^68+54x^70+15x^72+2x^74+2x^80+1x^84 The gray image is a code over GF(2) with n=456, k=15 and d=184. This code was found by Heurico 1.16 in 23.5 seconds.