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 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 1 1 1 2 2 0 2 0 0 2 0 2 2 2a+2 2a+2 2a+2 2a+2 2a+2 2a+2 0 0 2 2 0 0 2 2 2a+2 2a+2 0 2 2a 2a+2 0 2 2a 2a+2 0 2 2a 2a+2 0 2 2a+2 0 2 2a+2 0 2 2a+2 0 2 2a+2 0 2 2a+2 2a 2a 2a 2a 2a 2a 2a 2a 2a 2a 2a 2a 2a 0 0 0 2 2 0 2 2 2 2 0 0 2 0 2a+2 2 2a+2 0 2a+2 2a+2 2 2 2a+2 2 0 2 2a+2 0 0 2 2a+2 0 2a+2 2 2a 2a 2a 2a 2a 2a 2a 2a 2a 2a 2a 2a 2a+2 2 0 2a+2 2 0 2a+2 2 0 2a 2a 0 2a+2 2 2a 0 0 0 2 2 2 0 2 2a 2a+2 2a+2 2a+2 2a+2 0 0 2 2a+2 2a 2 2a+2 2a 2 2 0 0 0 2 2 2 2a 2a+2 0 2 0 2 2a 2a 2a 2a+2 0 2a 2a+2 2a 2a+2 2 2a+2 2a+2 0 2a+2 0 2a+2 2 2 2a+2 2a 2a 2a 2 0 2a+2 0 2 2a 2a+2 2a+2 2 2 2a 2a+2 0 0 0 2a 2 0 2 2a 2a+2 2a 2 2a+2 0 2a 2a+2 2a 2 0 0 2 2a+2 0 2 2a 2 0 0 2 generates a code of length 74 over GR(16,4) who´s minimum homogenous weight is 216. Homogenous weight enumerator: w(x)=1x^0+126x^216+336x^220+492x^224+48x^228+18x^232+3x^288 The gray image is a code over GF(4) with n=296, k=5 and d=216. This code was found by Heurico 1.16 in 0.079 seconds.