The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 2 1 1 2 1 2 1 1 1 4 8 2 2 1 1 1 2 2 1 4 4 4 1 1 1 0 12 0 4 0 0 4 12 0 0 4 12 8 0 0 4 12 4 12 4 12 12 0 0 4 4 8 12 4 8 8 4 4 0 4 8 0 0 0 0 0 0 12 4 0 12 4 0 0 12 4 0 4 0 12 12 0 4 8 4 0 0 12 8 4 4 4 8 12 0 12 12 12 8 4 4 12 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 8 8 8 8 8 0 8 0 8 0 8 8 0 8 8 0 8 0 8 0 8 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 0 8 0 0 8 0 0 0 0 8 0 8 8 8 0 0 8 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 8 0 0 8 8 8 8 0 8 8 8 0 0 0 0 8 0 0 8 0 0 0 8 8 0 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 8 8 8 8 0 8 0 8 8 8 0 8 8 8 8 8 8 0 8 8 8 8 8 8 0 0 0 0 0 0 0 0 8 0 0 8 0 8 8 8 8 0 0 0 0 0 8 0 8 0 8 8 8 8 8 8 0 0 8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 8 0 0 8 8 8 0 0 8 0 0 0 8 8 8 0 0 0 8 8 8 8 8 8 8 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 0 8 0 8 8 8 8 0 0 8 0 0 8 8 0 0 8 8 8 0 8 0 8 8 0 0 0 generates a code of length 40 over Z16 who´s minimum homogenous weight is 28. Homogenous weight enumerator: w(x)=1x^0+84x^28+108x^30+64x^31+258x^32+220x^33+435x^34+502x^35+1129x^36+1692x^37+3489x^38+5666x^39+5338x^40+5728x^41+3510x^42+1780x^43+1160x^44+512x^45+486x^46+156x^47+179x^48+36x^49+135x^50+22x^51+41x^52+4x^53+29x^54+2x^55+2x^60 The gray image is a code over GF(2) with n=320, k=15 and d=112. This code was found by Heurico 1.16 in 12.3 seconds.