The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 1 1 2a+2 1 2a+2 1 1 1 0 1 2 1 2 1 1 0 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 2a+2 1 1 1 1 1 1 2a+2 1 2a+2 0 1 1 1 2 1 2 1 1 1 2 1 1 1 1 1 1 1 1 2a+2 1 1 1 1 1 1 0 0 1 0 0 0 2a+2 1 3a+2 3a+3 2a+3 2a+3 a a+1 3a+2 1 3a+3 1 1 a+1 a 1 3a+3 1 3a+1 2a a 2 1 3 2a+2 3a+2 1 a+3 3a 2 a+1 2a+1 2a+3 2a+1 a+2 2 2a+1 a 1 0 a+1 2a a a+2 2a+1 1 a 1 1 2a+3 2a+1 a+1 2a+2 2a+1 1 2 a+2 3a+1 1 2 3a+1 2a+2 1 3a+2 2a+1 2 a+3 1 2a+1 3a+1 3a+3 3 1 a+2 2 0 0 1 1 a 3a+3 1 3 1 a 0 2 3a 3a+3 3a+3 a+3 3 3a+3 0 a+2 a a+3 2 2a+1 1 2a+1 a+2 a+3 3a+2 a+1 a+3 2a+1 2a 0 1 a+2 2a+2 a+1 3 a 2a+2 a+3 a a+2 a+2 2a+1 3a+3 2 3a+1 2a 2a+2 2a+1 a 2a a+2 3a 2a 1 2 3a 2a 3a 2 3 2a+1 a+1 2a 3a+3 3a+1 3a+3 3a+3 2a 0 3a a+2 2a 2a+1 3 2a+3 1 0 0 0 2a+2 0 0 0 2 2 2 2a+2 2a 2a 2a+2 2a+2 2a 2a 2 2a+2 2a 2 2a 0 2a+2 2a+2 0 2 0 2a+2 0 2a+2 2a 2 0 2a 0 2a 2 2a 0 2 0 2 2a 2a 0 2a+2 2a 2a 2a 2 2 2 2a 0 2a+2 2 0 0 0 2a+2 2a+2 2a+2 2a 2a+2 0 2a 0 2 2a 2 2 2a+2 2a+2 2a 0 0 2a+2 2a+2 0 0 0 0 0 2 2a+2 2a 2 2a+2 2a 2a 2 0 2 2a 2a 2 2a+2 2 2a 0 2a+2 2a+2 2a+2 2 2a+2 2 2 0 2a 2a+2 2a 0 2a 2 2a+2 2a 2 0 2a+2 2a 2a 2a+2 0 2a+2 2 2a 0 2a+2 2 2 2a 2a+2 0 0 2a 2a+2 2a 2 2 0 2 0 2a+2 2 0 2a 0 2a+2 0 0 2 2 2 2a+2 0 0 2a 2a+2 2 generates a code of length 80 over GR(16,4) who´s minimum homogenous weight is 222. Homogenous weight enumerator: w(x)=1x^0+276x^222+276x^223+384x^224+456x^225+1644x^226+684x^227+831x^228+1068x^229+3384x^230+1416x^231+1272x^232+1776x^233+4152x^234+1788x^235+1746x^236+2100x^237+5532x^238+2520x^239+1731x^240+2460x^241+5832x^242+2400x^243+1881x^244+2160x^245+5256x^246+1656x^247+1431x^248+1512x^249+2952x^250+1116x^251+624x^252+612x^253+1368x^254+372x^255+186x^256+132x^257+300x^258+60x^259+60x^260+12x^261+24x^262+24x^264+27x^268+18x^272+12x^276+6x^280+3x^284+3x^296 The gray image is a code over GF(4) with n=320, k=8 and d=222. This code was found by Heurico 1.16 in 24.4 seconds.