The generator matrix 1 0 1 1 1 6 1 1 12 1 1 10 0 1 1 6 1 1 12 1 1 10 1 1 0 1 1 1 6 1 1 10 12 1 1 1 0 1 1 6 1 1 1 1 1 1 6 2 2 0 1 3 6 5 1 12 7 1 10 9 1 1 0 5 1 6 3 1 15 12 1 9 10 1 0 3 5 1 6 15 1 1 3 9 15 1 12 0 1 10 3 5 9 6 6 1 10 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 8 8 8 8 8 8 8 0 8 8 0 8 0 0 0 0 8 8 8 8 0 0 8 8 8 8 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 8 0 8 0 0 8 0 8 8 8 8 8 0 0 8 8 0 8 8 0 0 0 8 8 8 0 0 8 0 0 8 8 0 0 0 0 0 0 8 0 0 0 0 0 0 8 8 0 8 8 8 8 8 0 0 8 0 8 8 8 8 0 8 8 0 0 8 0 0 0 0 0 8 0 8 8 0 8 0 8 8 0 0 0 0 0 0 0 8 0 0 0 0 8 8 8 0 8 0 0 8 8 8 8 0 0 8 8 8 0 8 0 0 8 0 8 8 0 8 8 8 0 0 8 0 8 0 8 8 0 8 0 0 0 0 0 0 0 8 0 0 8 8 0 0 8 8 0 0 8 8 0 0 8 8 8 8 0 0 0 8 8 0 8 8 8 8 8 0 8 8 0 0 0 0 8 0 0 0 0 8 0 0 0 0 0 0 0 8 0 8 0 0 0 0 0 0 8 8 0 8 0 8 8 0 8 8 8 0 8 8 0 8 0 8 8 0 8 0 0 0 0 8 8 0 0 8 8 0 0 0 0 0 0 0 0 0 0 8 0 8 8 0 0 8 8 8 8 0 8 0 0 8 8 0 0 8 0 8 0 8 8 0 0 0 8 0 8 0 8 0 8 8 0 8 8 0 0 8 generates a code of length 49 over Z16 who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+98x^40+16x^41+160x^42+128x^43+877x^44+608x^45+3392x^46+2400x^47+7299x^48+3104x^49+7168x^50+1984x^51+3503x^52+864x^53+768x^54+96x^55+197x^56+16x^57+32x^58+35x^60+20x^64+1x^68+1x^72 The gray image is a code over GF(2) with n=392, k=15 and d=160. This code was found by Heurico 1.16 in 9.39 seconds.