The generator matrix 1 0 0 1 1 1 1 1 1 1 1 2a+2 1 1 1 0 1 1 2a+2 1 1 1 1 2a+2 2a 1 1 1 1 2 1 1 1 1 2 1 1 1 1 1 1 2 1 1 1 1 1 2a 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 2a 1 1 1 2a+2 0 1 1 1 1 1 1 1 1 1 0 1 0 0 0 2a+2 1 3a+2 3a+3 2a+3 1 1 a a+1 a+1 1 3a+2 3a+3 1 2a+3 a 3 a+1 1 1 2a+1 2a 3a+3 3a+2 2 1 a+2 a+3 3a+3 1 3a+2 2a+2 a 2a 2a 2 1 2a a+2 a+3 2a 3a+2 1 a+3 2a+1 a+1 3 1 2a 2 a+1 2a+1 3a+1 a+1 a a+3 2a+3 1 2a+2 1 a+3 3a 2 1 1 2a 3 2a+2 3a+2 1 2a+3 a+2 0 1 0 0 1 1 a 3a+3 3a+1 3a+3 3a+1 a 1 3a+3 2a 0 a+2 a 3 1 1 0 a+2 3a+2 3a+2 a+1 a+2 3a+3 2a+2 2a+2 3a+3 1 2a+2 2a 3 a+1 2a+3 a+2 3 2a+2 a+1 3a+3 a 2a 3a+2 1 3a+1 1 3a 1 2a+3 3 a+2 a+1 3a+2 2 a+2 3a+1 2 3 a+2 3 0 2a+2 a 0 3a+1 3a+2 3a+1 a+1 2a+3 3a+1 0 3a+1 3a+1 a a+2 0 3a 2a+1 a 0 0 0 2a+2 0 0 0 2 2a 2a 2 2a 0 0 2a+2 2a 2a 2 0 2 2 2a+2 2 2 2a+2 0 2a 2a 2 2 0 2a+2 0 2 2a+2 0 2a 2a+2 2a+2 2 2a 0 2a 2a+2 2a 0 2a+2 2 2 0 2a+2 2a 2 2a+2 0 0 2a 2a+2 2a 0 2 2 0 2a+2 2 0 0 2 0 2a+2 2a 2 2a 2a 2a 0 2a+2 2 2a+2 0 0 0 0 2 2a+2 2a+2 2a 2 2a 0 0 2a 2 0 0 0 2 2 2a+2 2a+2 2a+2 2a 2 0 2 0 2a 2 2 2a 2a 2 0 2 2a+2 2a 2a+2 2 0 0 2 2 2a+2 0 2a+2 2 2a+2 2a 2a 2a+2 2 2a+2 2a 2a 2a 2a 0 2a 0 0 2 2 0 0 2a+2 2a+2 2a+2 2a 2a 2 2a+2 0 0 2a+2 2a+2 0 0 2 generates a code of length 79 over GR(16,4) who´s minimum homogenous weight is 220. Homogenous weight enumerator: w(x)=1x^0+303x^220+684x^221+516x^222+828x^223+1146x^224+1644x^225+744x^226+1608x^227+2373x^228+2388x^229+1416x^230+2280x^231+3489x^232+3780x^233+1560x^234+2940x^235+3507x^236+4152x^237+1488x^238+2856x^239+3189x^240+3912x^241+1584x^242+2544x^243+2958x^244+3060x^245+1176x^246+1560x^247+1734x^248+1380x^249+504x^250+684x^251+513x^252+468x^253+204x^254+60x^255+156x^256+36x^257+24x^258+27x^260+24x^264+9x^268+12x^272+6x^276+9x^280 The gray image is a code over GF(4) with n=316, k=8 and d=220. This code was found by Heurico 1.16 in 26.2 seconds.