The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 2 2a+2 1 1 1 1 1 0 1 1 1 2a 2 1 2 1 2 1 1 1 0 2 1 1 1 1 1 1 2 1 1 1 1 2a+2 1 1 0 1 1 0 1 1 1 1 2a 2 1 1 1 1 1 1 2a+2 1 1 2a 2a+2 1 2a+2 1 1 0 1 0 0 2 2a+2 1 3a+2 3a+3 1 a 2a+3 2a+3 a+3 a 1 3a+3 3a+2 a+1 1 1 a+2 a+2 3a+3 3 2 1 1 2a 2a 1 0 a+1 1 a 1 3a+1 a 2 1 1 2 2a+1 2a+3 2a+3 2a+1 a 1 3a+1 2a+2 2a 2a+2 2a 2a+2 a+1 1 3a 2a 1 3a+1 a 2a+1 2a+3 0 1 a+2 3 a+2 3a+3 a+1 3a+3 1 2a+3 2a 1 1 0 1 2a+1 2a+1 0 0 1 1 3a+2 3a+3 3 2a+3 2a+1 3a+3 0 2a a 2a a+2 3a+1 a+3 3a+1 a 3a+2 1 a+3 3a+2 2a+3 3a 3a a+3 1 1 a+1 0 1 0 1 a+3 3a+1 3a 2a+3 a+2 2a+3 a 2 3a+2 0 3 2 2a+2 2 a+3 2a 3a+1 2 1 3 a+1 2a 2a+1 2a a+2 3 2a+2 2 2a+2 1 3a+3 2a+1 3a+3 3a+1 2a+2 2a+2 a+2 2a+1 1 2a 3 a+2 3a+3 3a+1 2a+2 a 0 0 0 2a+2 0 0 2a+2 2a+2 2a+2 2 2a 2 0 2a 0 2a+2 2 0 2a 2a+2 2a+2 2a 2a+2 2a 2a 2a+2 2a 2a 2 2a+2 2a+2 2a 2a+2 0 2a+2 2 2 2 2a 2 2a 2 2 2a 0 2a+2 2 2a 2a+2 2a+2 2a 2a 2a+2 0 0 2 0 0 0 2 0 0 2a 2 0 0 2a+2 2 2 2a 2a+2 2a 2 2 2 2a+2 0 2 0 2a+2 generates a code of length 80 over GR(16,4) who´s minimum homogenous weight is 228. Homogenous weight enumerator: w(x)=1x^0+549x^228+456x^229+432x^230+288x^231+1245x^232+996x^233+648x^234+372x^235+1383x^236+852x^237+648x^238+228x^239+1191x^240+744x^241+492x^242+276x^243+1209x^244+684x^245+372x^246+192x^247+762x^248+420x^249+180x^250+108x^251+525x^252+300x^253+228x^254+36x^255+246x^256+144x^257+72x^258+12x^259+54x^260+12x^261+24x^263+3x^264 The gray image is a code over GF(4) with n=320, k=7 and d=228. This code was found by Heurico 1.16 in 1.75 seconds.