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 2 2 1 1 1 1 1 1 1 1 2 1 1 1 2 1 1 1 1 2 1 1 0 2 0 0 0 0 0 0 0 0 0 2a 2a+2 2a 2 2a 2a+2 2a 2 0 2a 0 2a 2 2 2a+2 2a 2a 0 2a+2 2 2a+2 2a 2 2a 2a 2a+2 2a 2a+2 2 2a 0 0 2a+2 2a 0 2a+2 2a 2a 2 0 0 2a 0 2 2 2a+2 2 0 2 2 2 2 2a 0 2a 2a 2a+2 2 2a+2 2a+2 2 2 0 0 2a+2 0 0 2a 0 0 0 2 0 0 0 0 2 2 2 2a 0 2a 2a 2a 2a+2 0 2a+2 2a+2 2 2 2a 0 2 0 2a 2a 2 2 2a+2 0 2a+2 2a+2 2a 2 0 0 0 2 2 2a 0 2 2 2a 2a 2 2a+2 2a+2 2a+2 2a 0 0 2a+2 2a+2 2a+2 2a+2 2 0 2a 2 0 2a+2 2a+2 2a+2 0 2 0 2a 2a 2a+2 0 2a 0 2a+2 0 2 2 0 0 0 0 0 2 0 0 2 2a+2 2a 2a 2a 0 2a+2 2a 2a 2 2a+2 2a 2a 0 2a+2 2 2a+2 2 2a 2 0 2 2a 0 2 2 2 0 0 2 2a+2 2a+2 2a 2a 2 0 0 2a+2 0 2 2a+2 0 2a+2 2a+2 2a 2 2 2a+2 2a+2 2 2a 2a+2 0 0 0 0 2 2a+2 0 2 2a+2 0 2a 0 2 2a+2 0 2a+2 2a+2 0 2a 2 2a+2 0 0 0 0 0 2 0 2a+2 0 2 2a 2a+2 2a+2 2 0 0 2a 0 2a 0 2 2a 2 0 2a 2 2a 2 2a 2 0 2a 2a+2 2a+2 2a+2 2 2a 2a 2 0 2a+2 2 2a 2 2a 2a+2 2a+2 2 0 2a+2 2a 2a+2 0 2 2a 2a 0 2a 2a 2 0 2 2a+2 2 2a 0 2a 0 0 0 2a 0 2 2a 2a+2 0 2a 2a 2a 2 2a 0 0 0 0 0 2 2 2 2a+2 2 2 2a 2 0 2a 2a+2 2a+2 2a 2a 2a 2a 2a+2 2 2a 2a 2a 2 2a 2a 2a 2a+2 0 2a+2 0 2a+2 0 2 0 0 0 2 2 0 2a+2 2a 2 2a 2a 0 0 2a 2 2a+2 0 2a 0 2a+2 2a+2 2a+2 0 0 2a+2 2a 2a 2a+2 2 2a 2 2a+2 2a+2 2a+2 0 0 2 2a 2a 2a+2 2a 2a 2a generates a code of length 80 over GR(16,4) who´s minimum homogenous weight is 216. Homogenous weight enumerator: w(x)=1x^0+144x^216+306x^220+387x^224+12x^225+408x^228+180x^229+417x^232+1080x^233+363x^236+3240x^237+363x^240+4860x^241+285x^244+2916x^245+324x^248+300x^252+243x^256+183x^260+123x^264+129x^268+63x^272+36x^276+12x^280+3x^284+3x^288+3x^300 The gray image is a code over GF(4) with n=320, k=7 and d=216. This code was found by Heurico 1.16 in 3.77 seconds.