The generator matrix 1 0 1 1 1 6 1 1 12 1 1 10 1 0 1 1 1 6 1 1 10 1 1 12 1 1 0 1 6 1 1 1 12 10 10 1 12 1 6 10 1 0 1 1 1 1 6 14 1 4 1 0 1 3 6 5 1 12 15 1 10 9 1 0 1 3 6 5 1 12 9 1 10 15 1 0 9 1 3 1 6 15 12 1 1 1 3 1 6 1 1 5 1 15 5 3 0 1 1 5 0 0 0 0 8 0 0 0 0 0 0 8 8 0 8 0 0 0 8 8 8 8 8 0 8 0 0 0 8 8 8 8 0 8 8 0 8 8 0 0 8 0 0 0 8 8 8 0 8 0 8 0 0 0 0 0 8 0 0 0 8 0 8 8 0 0 8 8 0 8 8 0 0 0 0 0 8 8 8 8 8 0 8 0 0 0 0 8 8 0 8 0 8 0 8 8 8 8 8 8 8 8 0 0 0 0 0 0 8 0 0 0 8 0 8 0 8 8 8 8 8 0 8 0 8 0 8 8 8 0 0 8 0 0 0 8 0 0 0 8 8 0 0 8 0 0 8 0 8 0 8 8 0 0 0 0 0 0 0 0 8 0 8 8 0 8 0 8 0 8 8 0 8 0 8 0 8 8 8 0 0 0 8 0 8 8 0 8 0 8 8 0 8 8 0 8 8 0 8 0 8 0 0 0 8 0 0 0 0 0 0 0 8 8 0 8 0 8 8 8 8 8 8 8 8 0 0 8 0 0 0 0 8 8 0 0 0 0 8 0 0 0 8 8 0 0 8 0 0 8 8 0 8 8 0 0 0 generates a code of length 51 over Z16 who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+26x^44+82x^45+204x^46+360x^47+666x^48+910x^49+1296x^50+1148x^51+1291x^52+878x^53+645x^54+400x^55+178x^56+50x^57+25x^58+12x^59+5x^60+3x^62+6x^64+3x^66+2x^68+1x^72 The gray image is a code over GF(2) with n=408, k=13 and d=176. This code was found by Heurico 1.16 in 0.67 seconds.