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 1 1 1 1 1 0 1 2a+2 1 1 1 1 1 1 2 1 1 2a 1 2a+2 1 1 0 1 2a+2 2a 2a 1 1 1 1 1 1 2a 1 1 1 1 0 1 2 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 2a+2 2a 1 2a 1 1 1 1 1 0 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 3a+1 3 a+3 a+1 2a+2 2a+2 2a+3 1 a 2a 2a+3 3a+2 3 a+3 1 3a a+2 1 a+2 1 3a+2 2a 1 a 0 1 1 0 a+1 2a+3 2a 2a+2 a 1 3a+1 1 a 0 1 3a+3 2 1 a+1 1 1 2a+1 a+1 2a+1 2 1 a+3 a+1 3 a+2 a 2a+1 2a+2 1 a+1 1 2a 2a 3a+2 2a a+3 1 a+2 0 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+2 3 3a+2 a 2 a 1 2a+3 2a+2 3a+2 2a+3 0 2a+3 a+3 3a+1 2a+3 3 0 a+1 3a+1 3a+2 3a+3 a 2a+3 2 1 3 0 3a+3 a+1 a+1 2a+1 3a+3 1 3a+1 2a+2 2a+1 2a+2 2a+2 2a+2 2a+3 1 1 a+1 a 3a 2a+1 2a+2 3a+3 1 2 2a+1 a+2 2 2a+1 2a+2 3a+1 1 3 3a+2 a+1 2a+2 a 3a+2 a 2a+2 a+2 2a 0 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 2a 0 2a+2 0 2 2a 2a+2 0 0 2a 2a 0 2a+2 2a 0 2a 2a 2a 2 2a+2 2 0 2a+2 2 2a 0 0 2a 2a 2a 2a+2 0 0 2a+2 0 2a 2a+2 0 2 2 2a+2 2 2a 2a 2 0 2a+2 2 2 2a+2 2 2 0 0 2a 2a+2 0 2 2a 2 2a+2 2a+2 2a+2 2a+2 2a 2a 2 2a+2 0 0 0 0 0 2 2a+2 2a 2 2a+2 2a 2a 2 0 2a 2 2a 2 2a+2 2 2a 0 2 0 2a+2 2a 2a+2 2 2a+2 2 2a 0 2a 0 2a+2 0 2a+2 0 0 2a 0 0 2a 2a+2 2a+2 2a+2 2a 2a 0 2 2 2 2a+2 0 2a+2 0 2a 2a 0 2a 2 2a+2 2a 2a 2a+2 2 2 0 0 0 2a 0 2a 2a 0 2 2 2a+2 2a+2 2a 2 2a+2 2a+2 2a 2a+2 2a 0 0 2a 0 generates a code of length 89 over GR(16,4) who´s minimum homogenous weight is 248. Homogenous weight enumerator: w(x)=1x^0+219x^248+324x^249+180x^250+144x^251+1038x^252+2016x^253+696x^254+168x^255+1785x^256+3852x^257+1032x^258+396x^259+2706x^260+4968x^261+1356x^262+516x^263+3105x^264+5724x^265+1752x^266+588x^267+3363x^268+5676x^269+1680x^270+528x^271+3222x^272+5424x^273+1284x^274+420x^275+2124x^276+3504x^277+780x^278+228x^279+1185x^280+1704x^281+348x^282+84x^283+510x^284+540x^285+96x^286+102x^288+60x^289+12x^290+30x^292+33x^296+6x^300+6x^304+9x^308+6x^312+3x^316+3x^324 The gray image is a code over GF(4) with n=356, k=8 and d=248. This code was found by Heurico 1.16 in 27.6 seconds.