The generator matrix 1 0 0 0 1 1 1 1 1 2 1 1 1 1 1 1 2 1 1 0 1 2a+2 1 1 1 1 2a+2 2 1 1 1 1 1 1 1 2a 1 1 1 0 1 1 0 1 1 1 1 2a 2 1 1 1 0 1 1 2a+2 1 0 1 1 2a 1 1 0 1 1 1 1 2a 1 1 2a+2 1 1 2 1 0 1 1 1 0 1 0 0 0 2 2 2a+3 2a+1 1 3a 3a+3 a+2 a+3 1 2a 1 1 a+3 1 a+1 1 0 1 a+3 2a+3 1 2a 2a 3 a+1 a+3 3 a a+2 1 3a+2 3 2 1 3a+1 3 1 a 0 a+1 2a+2 1 0 3a+2 a+3 2 1 3 2 1 2a+1 1 3a+2 a+3 1 3 a+3 2a 3 3a 1 a+1 1 a+1 3a+1 2 a 3a+3 1 1 0 a+2 2a+1 a 0 0 1 0 1 3a+2 a+1 a 2a+2 3a+2 2a+3 3a+1 a 3a+2 a+1 a a 2a 2 3 a+2 0 a+3 1 2a+3 3a+2 a+2 1 1 0 a+3 2 1 a a+2 a+3 2a 3a+3 0 3 a+1 2a 3a+3 a+1 3 a+1 a+3 0 1 3a+1 2a+1 3a+3 3a+2 3a+2 2 3a+3 3a+2 3a+3 1 a 2 1 a+3 1 3a 3 2 3a a+3 0 2a 2 3 3a 2a+2 3a+3 1 3a+3 3a+1 a+2 0 0 0 1 3a+3 a 1 2 a+2 a+2 0 2 3a+1 2a+3 3a+2 3a+3 2 2a a+3 a+1 a+2 2a+1 2a+2 0 a+1 2a+3 3a+1 2a+3 2a+1 1 2a+3 0 a 1 a a+2 2a 2a a+3 3a a+3 3a+3 2a 3a+3 2a+1 3a a 3a+1 3a+1 2a+3 2 3a 3a+1 a+3 2a+1 0 a a+2 2a+1 2 a 2a+3 2a+1 3a+2 a+1 a+1 0 2a+3 3a+1 a 3a 1 a 3a+1 a+3 2a+2 3a+3 2a+2 a 3a 0 0 0 0 2 0 2a 0 0 0 2 2a 2 2a 2a+2 2a+2 2 2 2 2a+2 2 2 2a+2 0 2a 2 0 2a 0 0 2a+2 2a+2 2a 2a+2 2 2 0 2a 2a+2 0 2a 2 0 2a 2a 0 0 2a 2a+2 0 2 2a+2 2a 2a+2 2 2a 2a+2 2a+2 2a 2a+2 2 2a+2 0 2a 2a 2a+2 2a 2 0 2 2a+2 2a 2 2 2a+2 2a+2 2a+2 0 0 2a+2 generates a code of length 80 over GR(16,4) who´s minimum homogenous weight is 219. Homogenous weight enumerator: w(x)=1x^0+504x^219+570x^220+468x^221+1152x^222+2868x^223+1971x^224+1668x^225+2676x^226+6228x^227+4290x^228+3504x^229+4740x^230+10128x^231+6636x^232+5280x^233+7932x^234+15852x^235+9399x^236+7608x^237+10140x^238+20112x^239+11583x^240+8568x^241+11220x^242+19524x^243+11133x^244+7908x^245+9156x^246+16392x^247+8130x^248+5472x^249+5508x^250+9372x^251+4221x^252+2076x^253+2244x^254+2892x^255+1221x^256+420x^257+504x^258+552x^259+153x^260+36x^261+24x^262+24x^263+24x^264+27x^268+18x^272+6x^276+9x^284 The gray image is a code over GF(4) with n=320, k=9 and d=219. This code was found by Heurico 1.16 in 302 seconds.