The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8 2 2 8 2 4 0 1 2 1 1 4 1 1 1 1 0 2 1 1 1 1 1 0 2 0 0 0 2 14 2 4 2 4 14 2 4 10 12 2 10 2 2 12 0 4 10 2 10 14 8 10 8 14 6 2 2 0 8 12 12 8 0 0 2 0 2 2 2 8 14 14 0 6 12 12 4 10 0 4 14 14 2 2 2 2 12 12 14 8 8 4 8 12 6 0 8 10 6 10 10 0 0 0 2 2 0 10 2 0 8 0 2 6 6 4 14 4 10 0 2 6 8 10 4 12 10 14 2 12 2 8 2 0 2 4 6 6 8 6 0 0 0 0 4 0 4 0 12 4 4 8 4 12 4 8 8 0 12 8 4 12 8 12 4 8 4 8 4 12 12 0 0 0 0 12 0 12 4 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 0 0 generates a code of length 39 over Z16 who´s minimum homogenous weight is 31. Homogenous weight enumerator: w(x)=1x^0+110x^31+382x^32+792x^33+1471x^34+2176x^35+4257x^36+7204x^37+9635x^38+13238x^39+9985x^40+7224x^41+4307x^42+2206x^43+1306x^44+644x^45+293x^46+188x^47+99x^48+8x^49+6x^50+2x^51+1x^52+1x^56 The gray image is a code over GF(2) with n=312, k=16 and d=124. This code was found by Heurico 1.16 in 35.5 seconds.