The generator matrix 1 0 1 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1 2 1 1 1 1 2 1 1 2 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 1 1 1 1 1 1 1 0 2a+2 2 2a+2 2a+2 0 2a+2 2 2a 0 1 1 a a+1 0 2a+3 a a+1 1 0 a 2a+3 a+1 1 2 2a+3 a+2 a+3 1 2 1 a+2 a+3 1 2 2a+1 1 0 3a+2 a+3 2a+3 a+2 2 2a 3 a+2 2a+1 a+1 1 3a+2 2a+1 1 2a+1 3a+2 1 3a+1 a 3a+2 a+1 3a+1 3a+1 3a+3 a 3a+1 a+2 a+3 2a+1 3a a+3 2a+3 3a+2 3a+1 2 2a 0 1 1 1 1 1 1 1 1 1 0 0 2a+2 0 2 0 2 2a 2a 2a 2a 2 2a+2 2a+2 0 2a+2 0 2a+2 0 2 2 2a 2a 2 2a+2 2a 2 2a 2a+2 2 0 2 2 2a+2 0 2a+2 2a 2a+2 2 2a 0 2a 0 2 2a+2 0 0 0 2a+2 2a 2a+2 2a 2a+2 2a 2a 2a+2 2 2a 2 2a+2 0 0 0 2a 2 2 2 2a+2 2a 2a+2 2 2a 0 2a+2 2 0 0 0 2 2a 2a 0 2a 2 2 0 2 2a 2 2 0 0 2 2 2 0 0 2 2 2 2a 2a 0 2a 2a 2a 2 2a+2 2a+2 2a+2 2 2a+2 2a+2 0 2a+2 2a+2 2 2 2a+2 2a+2 2a+2 0 2a 2a 0 0 2a 2a 0 2a+2 0 2a+2 2a 0 2a+2 2a 0 2a+2 2a+2 2a+2 2a 2a 2a 2a+2 0 2a+2 2a 2a+2 2a+2 0 generates a code of length 75 over GR(16,4) who´s minimum homogenous weight is 217. Homogenous weight enumerator: w(x)=1x^0+144x^217+423x^220+1920x^221+333x^224+144x^225+48x^228+144x^229+96x^233+198x^236+624x^237+18x^240+3x^252 The gray image is a code over GF(4) with n=300, k=6 and d=217. This code was found by Heurico 1.16 in 0.397 seconds.