The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 2 2 0 1 1 1 8 2 2 2 1 1 2 0 12 1 1 1 1 8 1 2 1 0 2 1 8 1 0 2 0 2 0 0 2 6 4 10 4 6 10 14 4 2 4 12 2 6 4 10 4 10 12 2 2 2 8 10 12 2 6 0 10 2 6 0 0 0 0 0 2 2 0 6 2 4 0 2 2 0 10 12 2 6 2 12 14 12 2 12 8 12 2 8 14 12 12 6 14 8 6 2 4 8 14 4 2 0 0 0 0 4 0 0 0 0 0 0 8 12 4 12 8 12 12 4 0 8 0 12 4 8 12 12 0 12 12 8 12 12 4 4 4 0 4 8 4 8 0 0 0 0 12 0 0 0 0 0 12 8 12 12 4 12 8 12 12 8 8 0 4 0 0 8 12 4 0 4 8 4 4 4 0 8 4 0 8 8 0 0 0 0 0 12 8 12 4 12 4 4 4 0 8 0 0 4 8 12 0 0 8 4 8 12 4 12 4 12 12 4 4 12 8 0 0 8 0 0 generates a code of length 40 over Z16 who´s minimum homogenous weight is 31. Homogenous weight enumerator: w(x)=1x^0+34x^31+238x^32+312x^33+915x^34+1170x^35+3159x^36+3958x^37+8220x^38+8670x^39+11824x^40+9186x^41+8278x^42+3906x^43+3092x^44+1130x^45+840x^46+224x^47+233x^48+70x^49+47x^50+12x^51+13x^52+4x^54 The gray image is a code over GF(2) with n=320, k=16 and d=124. This code was found by Heurico 1.16 in 38.1 seconds.