The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 1 1 2a+2 2a+2 1 1 1 1 0 2 1 1 1 1 0 1 1 2a 1 1 1 1 1 1 1 0 1 0 1 1 1 2a+2 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 2a 1 2a+2 1 1 1 2a+2 1 1 1 1 1 2 1 1 1 1 1 1 2a 1 1 1 1 0 1 0 0 0 2a+2 1 3a+2 3a+3 2a+3 2a+3 a a+1 3a+3 1 1 3a+2 1 a+1 a 1 1 3a+2 a+2 2a+2 a+3 1 1 2a+3 2a+2 2a 2 1 3a+3 a+1 3a+2 2a 1 2a+3 1 a+3 a+3 a+3 2a+2 a+2 2a a+1 3a 2a+2 3a a+1 2a+3 2a+2 2 2a+2 2 a+2 1 3a 2a+2 2a+1 3a 1 2 2 3a a+3 a 1 3a 3a+1 0 0 a+2 1 a+1 3a+2 a+3 3a+3 3a+2 a+2 1 a+2 2 2 2a 0 0 1 1 a 3a+3 1 3 1 a 0 2 3a 3a+3 3 3a+3 3a+1 3a+3 0 3a a 3a 2 3 a 1 a+1 a+1 2 1 2a+1 2a+2 3 2a a+2 3a+2 3a+1 2a+3 3a+2 2a 3a 3a+3 3a+1 1 3a+1 3a+2 2 2a 3 0 3a+2 3a+2 a+3 2a+3 2a+1 3a 2 2a+2 a+3 2a+2 3 3a a+3 2a 1 3a+1 a+3 3a+2 3a+1 2a+1 3a+2 3a+1 a+3 a+1 a+1 3 3a 3a+2 3 1 1 2 a+3 3 a+1 3a 0 0 0 2a+2 0 0 0 2 2 2 2a+2 2a 2a 2a 2a 2a+2 2a+2 2 2a+2 2 2 0 2a+2 0 2a 2a+2 0 0 2a 2a+2 2a+2 2 2a 2a 2a 2 2 2a+2 2 2a 2a+2 0 2a+2 0 2a 2a+2 2a+2 0 2 0 2 0 2a 2 2 2a 2 2 2 2a+2 2a 2a 2a+2 2 2a+2 2a+2 0 0 2 2a+2 2a 2a+2 2a+2 0 2a 0 2 2 2 2a 2a 2 2a+2 2a 2 2a+2 0 0 0 0 2 2a+2 2a 2 2a+2 2a 2a 2 0 2a 2 2a 2 2a+2 2 2a 2a 0 2a 2a 2a+2 2a+2 2a 2 2a+2 2 2a 0 2a+2 0 2a 0 0 0 2 2a+2 0 0 2a 2a+2 0 2a+2 2a+2 0 2a 2a 2a+2 2 2a 2 0 2a 2 2 0 0 2a 0 0 2a+2 2a 2a+2 2a+2 2a 2a 2 2a+2 2a+2 2a 0 2 2 2 2 0 2 0 0 0 2a+2 2a 2a generates a code of length 86 over GR(16,4) who´s minimum homogenous weight is 240. Homogenous weight enumerator: w(x)=1x^0+348x^240+156x^241+600x^243+2466x^244+948x^245+1356x^247+4323x^248+1428x^249+1596x^251+6054x^252+2124x^253+2076x^255+7023x^256+2124x^257+2064x^259+7362x^260+2028x^261+2148x^263+6654x^264+1656x^265+1284x^267+4431x^268+1236x^269+804x^271+1764x^272+480x^273+288x^275+387x^276+96x^277+48x^279+69x^280+12x^281+24x^283+27x^284+24x^288+9x^292+6x^296+12x^304 The gray image is a code over GF(4) with n=344, k=8 and d=240. This code was found by Heurico 1.16 in 26.6 seconds.