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 2 2 2 2 1 2 1 4 1 4 4 2 1 1 2 4 2 1 1 1 1 4 4 0 8 2 1 0 12 0 4 0 0 4 12 0 8 4 0 4 8 4 4 0 8 0 4 12 0 4 4 8 12 4 12 4 8 4 0 4 12 12 0 0 4 12 8 8 8 0 4 8 8 4 4 4 4 4 4 0 0 12 4 0 12 4 0 0 4 0 8 12 12 8 4 8 4 4 4 0 8 4 0 4 8 12 0 4 0 4 8 4 0 0 12 12 12 4 4 4 4 4 4 4 12 12 4 0 4 12 4 0 0 0 8 0 0 0 0 0 8 8 8 8 0 0 0 0 0 8 8 0 8 8 0 8 0 8 0 0 8 0 0 0 0 8 0 0 0 8 8 8 0 8 8 8 8 8 0 8 8 8 0 0 0 0 0 8 0 0 0 0 0 0 0 8 8 8 8 8 8 0 8 0 8 0 8 0 8 8 8 8 8 8 0 0 0 8 0 8 0 8 0 0 0 8 8 8 8 0 8 0 0 8 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 8 8 8 8 0 8 8 8 8 8 0 0 0 8 0 0 8 8 8 8 0 0 0 8 8 8 0 0 0 8 0 0 0 0 8 8 8 0 0 0 0 0 0 8 0 0 8 8 8 0 0 0 0 8 8 0 8 0 8 0 8 0 8 0 8 8 0 0 8 0 8 0 0 8 8 8 0 8 0 8 8 0 0 8 0 0 8 8 0 0 0 0 0 0 0 0 8 0 0 8 0 0 0 0 8 8 8 8 0 0 8 8 8 0 0 8 8 0 8 8 0 0 8 0 8 8 8 0 8 8 8 8 8 0 8 8 0 8 0 8 8 0 0 0 0 0 0 0 0 8 0 0 8 0 0 0 8 8 0 0 0 8 8 0 0 0 8 8 8 8 0 8 8 0 8 8 0 0 8 0 8 0 8 0 8 8 0 0 8 8 8 0 0 generates a code of length 52 over Z16 who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+56x^42+58x^43+138x^44+198x^45+342x^46+380x^47+919x^48+596x^49+2683x^50+812x^51+4061x^52+844x^53+2704x^54+608x^55+875x^56+344x^57+278x^58+170x^59+124x^60+62x^61+62x^62+20x^63+20x^64+4x^65+15x^66+5x^68+4x^70+1x^72 The gray image is a code over GF(2) with n=416, k=14 and d=168. This code was found by Heurico 1.16 in 5.71 seconds.