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 1 1 1 2 1 1 2 1 1 2 1 2 2 1 1 1 1 1 1 1 1 1 1 1 0 2 0 0 0 0 2 2 2 2a 0 2 2a+2 2a 2a+2 2a 2 2 2a 0 2a+2 2a 2 2a 0 2 0 2a+2 2a 2 2a+2 2a 0 0 2a 2a 2 2 2a 2a 2 0 0 2a 2a+2 0 0 2 2a 0 0 2a+2 2a 2a+2 0 2a 2a+2 2 2a 2 2 2 2 2a+2 0 2a+2 2a 2 0 2 0 2a 2a 2a 2a 2 2 2a+2 0 2 2a+2 2 2a+2 2 0 0 2a+2 2a+2 0 2a+2 2 2 0 2a 0 0 0 0 2 0 0 2 2a+2 2a 2a 2a 0 0 2a 2a 0 2a 2a+2 2a 2a+2 2a+2 0 2 2a+2 0 2a+2 0 2a 2a 2a 2a 2a+2 0 2a+2 2a+2 0 0 2a+2 2 2a 2a+2 2 2 0 2 0 2a 2a 0 2a+2 2a+2 2a+2 2a 2a+2 2a+2 2 2 2 2 2a+2 2 2 2 2a+2 2a+2 2a 2a 2a+2 0 2a 2a 2 0 2 0 2a 2 2a 0 0 2a+2 2a 2a+2 2a+2 2a+2 0 0 0 2 2a+2 0 0 0 2a 2a 2a+2 0 0 0 0 2 0 2a+2 0 2 2a 2a+2 2 2 2 0 2 2a+2 2 2 2a+2 2a+2 2a+2 2a 0 2a+2 2a+2 0 2 2a 0 2a+2 0 2a 2 2 2a 0 2a 2 2a 0 2 2a 2a+2 2a 2a+2 2 2a 2a 2a+2 2a 2a 2a 2a 2a+2 2a 0 0 0 0 0 2a+2 2a+2 2 2 0 2 0 0 2 2a 0 0 2a+2 2a+2 2a 2a 2a+2 2 2 2 2a+2 2a+2 2a 2a 2 0 2 2 2 0 2 2a+2 2a+2 0 0 0 0 0 0 0 2 2 2 2a+2 2 2 2 2a 0 0 0 2a 2 2a 2a+2 2a+2 2a 0 2a 2 2a 2a 0 0 2a+2 2a+2 2a+2 2a 2 0 0 2 2a 2 2a+2 2 2a+2 2 2 2a+2 0 2a 0 2 0 0 2 2a 2 2a 2a 2a+2 2a+2 2 0 0 2 2a+2 2a+2 2a+2 2a+2 2a+2 2a+2 2 2a+2 2a+2 2 2a+2 2 2a+2 0 2a 2 2a 2a+2 2a 0 0 2a 2a 2 2a+2 2 2 2a+2 2 2a+2 2a+2 2a 2 2a 0 generates a code of length 96 over GR(16,4) who´s minimum homogenous weight is 272. Homogenous weight enumerator: w(x)=1x^0+78x^272+210x^276+48x^277+159x^280+288x^281+141x^284+768x^285+72x^288+1248x^289+96x^292+720x^293+51x^296+48x^300+27x^304+42x^308+36x^312+21x^316+12x^320+6x^324+6x^328+3x^332+6x^336+6x^340+3x^364 The gray image is a code over GF(4) with n=384, k=6 and d=272. This code was found by Heurico 1.16 in 0.431 seconds.