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 1 1 1 1 1 1 2 1 1 2 2 4 4 4 4 2 1 2 0 2 4 1 2 4 1 1 0 12 0 0 0 0 0 0 0 12 12 4 4 4 4 4 0 12 4 8 8 12 4 8 12 0 8 0 12 12 0 4 12 4 12 12 8 12 4 8 4 8 0 0 12 12 8 0 8 4 0 0 0 12 0 0 0 4 12 4 4 12 8 4 8 8 4 0 4 0 12 8 0 8 0 4 4 12 8 8 0 0 8 8 12 8 12 8 4 4 8 4 8 0 8 4 8 12 0 4 4 0 0 0 0 12 0 4 4 12 0 8 12 12 12 12 8 0 12 0 0 4 0 12 12 4 8 12 8 12 12 0 12 12 8 4 0 8 12 0 0 4 0 0 12 8 4 12 12 12 0 0 0 0 0 0 0 12 4 0 12 4 12 8 4 12 8 12 0 4 4 0 8 4 4 4 0 8 12 12 8 0 0 12 0 0 8 8 12 0 4 0 4 8 0 0 4 0 12 12 8 0 8 0 0 0 0 0 0 8 0 0 8 8 0 8 0 0 8 8 0 0 0 8 8 8 0 8 0 8 0 8 0 0 0 0 8 0 0 8 8 0 0 8 8 0 8 8 8 0 0 0 8 0 0 0 0 0 0 0 0 8 0 8 8 8 0 0 0 8 8 0 8 8 8 0 8 8 0 8 0 8 8 8 8 8 0 0 0 0 8 0 0 0 0 0 8 8 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 8 0 0 8 8 8 0 8 0 0 8 0 8 8 0 0 8 8 0 8 0 0 8 8 0 0 8 8 8 8 0 8 0 8 8 8 8 8 0 generates a code of length 51 over Z16 who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+64x^40+94x^41+221x^42+234x^43+354x^44+448x^45+770x^46+1294x^47+2126x^48+3540x^49+4682x^50+5188x^51+4655x^52+3582x^53+2076x^54+1234x^55+802x^56+436x^57+382x^58+200x^59+164x^60+90x^61+50x^62+40x^63+21x^64+2x^65+10x^66+2x^67+3x^68+2x^72+1x^74 The gray image is a code over GF(2) with n=408, k=15 and d=160. This code was found by Heurico 1.16 in 19.5 seconds.