The generator matrix 1 0 1 1 1 6 1 1 12 1 1 10 1 1 0 6 1 1 1 12 1 10 1 1 1 1 0 1 12 1 1 1 1 6 1 1 10 1 1 1 1 1 1 1 6 6 0 2 1 1 1 1 1 0 1 3 6 5 1 12 7 1 10 9 1 0 3 1 1 5 6 15 1 9 1 12 10 3 5 1 0 1 6 15 9 5 1 12 0 1 9 3 15 12 5 10 6 1 1 1 6 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 8 8 8 0 8 8 8 8 0 0 0 0 0 0 8 0 8 8 0 8 8 0 0 8 0 8 8 8 8 8 0 0 0 8 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 0 8 8 8 8 8 8 0 0 8 8 8 8 8 8 8 0 8 8 0 0 8 8 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 8 8 8 8 8 0 8 8 8 8 8 8 0 8 0 0 0 0 0 8 8 8 8 0 0 0 0 8 0 0 8 8 8 0 0 0 8 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 0 0 0 8 0 8 0 8 8 8 0 8 8 8 0 0 0 8 8 0 0 0 8 8 0 8 8 0 8 8 8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 8 8 8 0 0 8 0 8 8 8 0 8 0 0 8 0 0 8 8 8 8 8 0 8 8 8 8 0 8 0 8 0 0 8 0 8 0 8 0 0 0 0 0 0 0 0 0 0 0 8 0 0 8 0 0 0 0 0 8 8 0 0 8 0 8 8 0 8 0 8 0 8 8 8 0 8 0 0 0 8 0 0 8 8 0 0 8 8 8 8 8 8 0 0 0 0 0 0 0 0 0 0 0 8 0 8 8 0 8 0 8 0 8 8 0 8 8 0 8 8 8 8 8 0 8 0 0 0 8 8 8 0 8 8 0 0 0 8 0 8 0 0 8 8 0 8 8 0 0 0 0 0 0 0 0 0 0 8 8 8 8 0 8 8 0 0 0 8 8 0 8 8 8 8 0 0 0 0 8 8 8 8 0 8 0 8 8 8 8 8 8 0 0 8 0 0 0 0 0 0 0 generates a code of length 53 over Z16 who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+46x^40+54x^42+18x^43+199x^44+92x^45+472x^46+322x^47+1685x^48+1744x^49+6268x^50+5300x^51+12805x^52+7592x^53+12788x^54+5284x^55+6261x^56+1744x^57+1669x^58+314x^59+441x^60+92x^61+197x^62+26x^63+54x^64+38x^66+11x^68+14x^70+1x^72+3x^74+1x^78 The gray image is a code over GF(2) with n=424, k=16 and d=160. This code was found by Heurico 1.16 in 35.2 seconds.