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 2 1 2 2 1 4 1 1 2 2 1 1 2 0 1 4 2 1 1 1 1 1 1 4 2 1 2 0 12 0 0 0 4 12 4 8 0 4 0 8 4 4 4 4 8 8 0 0 12 4 0 4 4 0 12 0 8 12 4 4 12 4 8 0 4 8 12 0 8 0 12 0 12 0 12 8 4 12 8 0 8 4 0 0 12 0 4 4 12 0 0 4 8 0 12 12 8 4 4 0 8 12 12 12 0 0 4 8 8 4 12 0 8 0 0 8 0 0 4 12 4 8 4 4 4 4 0 12 12 12 4 4 4 4 8 0 4 0 0 0 12 4 0 12 4 4 8 0 8 4 4 4 8 8 4 0 0 4 12 8 0 4 12 8 8 0 12 8 12 12 0 8 12 4 0 0 0 4 0 4 12 12 8 8 0 4 8 8 0 12 8 8 0 0 0 0 8 0 0 8 0 8 8 0 0 0 0 8 0 0 0 0 8 8 8 8 0 8 8 0 0 8 0 0 8 8 0 8 8 8 0 0 8 8 0 8 8 8 8 8 0 8 0 0 8 0 8 0 0 0 0 0 8 0 8 8 8 0 8 8 0 8 8 0 8 8 8 0 0 8 8 8 0 0 8 0 0 8 8 8 8 8 8 0 0 0 8 8 0 0 0 0 0 0 0 8 8 0 0 8 0 0 0 0 0 0 0 0 8 0 8 8 8 0 0 0 0 0 0 0 8 8 8 0 8 8 0 0 0 8 8 0 8 0 8 0 8 0 8 8 8 0 0 8 0 0 8 0 0 8 8 8 8 8 8 0 8 generates a code of length 55 over Z16 who´s minimum homogenous weight is 47. Homogenous weight enumerator: w(x)=1x^0+84x^47+108x^48+164x^49+154x^50+320x^51+279x^52+1140x^53+1027x^54+1760x^55+1041x^56+1106x^57+218x^58+316x^59+110x^60+118x^61+60x^62+68x^63+47x^64+26x^65+12x^66+12x^67+10x^68+6x^69+1x^70+3x^72+1x^84 The gray image is a code over GF(2) with n=440, k=13 and d=188. This code was found by Heurico 1.16 in 25.4 seconds.