The generator matrix 1 0 1 1 1 14 1 1 0 1 1 2 4 1 6 1 1 1 1 1 12 10 1 1 14 8 1 1 1 1 1 1 6 1 1 1 1 1 1 1 2 1 10 1 4 0 1 4 14 8 8 0 0 1 11 14 5 1 0 3 1 6 13 1 1 4 1 10 7 9 15 2 1 1 1 12 1 1 3 6 5 14 0 13 1 15 8 15 10 12 2 9 8 12 1 10 2 1 5 8 1 1 2 1 0 0 12 4 0 4 12 0 12 8 12 4 4 4 0 0 4 0 8 4 8 8 12 0 12 12 8 8 8 12 8 4 0 0 12 0 8 0 12 8 4 0 8 8 12 8 0 4 4 12 4 0 0 0 0 8 0 0 0 0 0 0 8 0 8 0 8 8 0 8 0 8 8 8 0 0 0 0 0 8 8 0 8 0 8 0 8 0 8 0 0 8 0 8 8 0 8 8 8 0 8 0 0 0 0 0 0 0 8 0 0 0 0 8 0 8 8 0 0 8 8 8 0 0 8 8 8 8 0 8 0 0 8 0 0 0 8 0 0 8 8 0 8 0 0 8 8 8 8 0 0 0 0 8 8 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 8 8 8 0 8 8 0 8 0 8 0 8 0 0 0 8 8 0 8 8 0 0 0 8 0 0 8 8 0 0 8 0 8 8 0 0 0 8 0 0 0 0 0 0 8 0 0 0 8 0 8 8 8 8 8 8 0 0 0 0 0 8 8 8 8 0 8 0 8 8 8 8 0 0 8 0 0 8 0 0 0 8 8 0 8 8 0 0 8 0 0 0 0 0 0 0 0 8 0 8 0 8 8 0 0 8 8 8 0 8 8 0 0 8 0 0 8 8 0 8 8 0 8 8 8 8 0 8 8 0 8 8 0 8 0 8 0 0 8 0 0 8 0 0 0 0 0 0 0 0 8 0 0 8 8 8 8 8 8 0 8 8 0 8 0 8 8 0 8 8 8 8 8 8 0 8 8 8 0 0 8 8 8 0 8 0 8 0 0 8 0 8 8 8 generates a code of length 52 over Z16 who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+67x^42+114x^43+163x^44+374x^45+604x^46+1554x^47+2445x^48+5910x^49+5963x^50+11592x^51+8137x^52+11416x^53+6047x^54+5832x^55+2391x^56+1656x^57+566x^58+342x^59+141x^60+98x^61+50x^62+22x^63+26x^64+2x^65+11x^66+7x^68+3x^70+1x^72+1x^74 The gray image is a code over GF(2) with n=416, k=16 and d=168. This code was found by Heurico 1.16 in 38.1 seconds.