The generator matrix 1 0 0 0 1 1 1 1 1 1 1 1 2a+2 1 1 1 1 2 1 1 2a+2 1 1 0 1 1 1 1 1 1 0 1 1 1 2a 1 1 1 2a+2 1 1 1 1 1 1 1 1 1 0 1 1 1 0 2 1 2a 2a 1 1 1 1 1 1 2 1 1 2a+2 2a 1 1 1 1 2a 1 1 1 1 1 2 2 1 1 2 1 1 2a+2 1 1 0 1 0 0 2a+2 0 2a+2 1 3a+2 3a+3 2 0 2 2 2a+3 a+3 a 1 2a+3 3a+3 1 2 a+2 1 3 1 a+3 3a 2a+3 1 1 2a a+1 a+1 1 a+3 3 3a 2a 3a+2 a a+1 a+2 a+2 2a+1 2a+2 3a+3 a+3 1 a+1 a 2a+2 1 1 a+2 1 1 2 3a+1 3 a+1 a+2 3a+2 1 3a+2 a+3 1 1 a 3a+1 2a+3 3a+1 1 3 2a+1 a+1 a 3 2a 1 3a+1 a+3 1 3a a+1 1 a+3 2a+3 0 0 1 0 2 2a+2 0 2a 2a 2a 2a+3 2a+3 1 3a+2 a+1 3 2a+3 3a+1 a+3 2a+1 2a+3 3a+3 3a+3 a+3 3a+1 3 2a 2a+1 3 0 2a+1 3a+3 3a+1 a+3 a+2 a+2 0 2a 1 3a+3 a+3 0 2a+2 a+3 2a+1 2a+1 a+1 3a a+1 1 1 a a a+2 a+2 2a 2a+3 a 3a+2 a+2 3 2 a 2a+2 a+2 3a 2 2a+1 a 2a+3 3a 3a+1 3a+3 2a 3a 2a+3 3 2a+2 1 0 3a+3 3a+1 3 2a a+3 2a 2 3a+1 0 0 0 1 2a+3 3a+2 3a+3 3a+1 a+1 a+3 3a+3 2 a+1 3a+2 2 a 3a 3a+2 3a+1 3a+3 a 1 3 1 a+2 3a+2 2a a+1 2a+3 2a+2 2 a+1 0 a a 2a+2 2a+3 1 3a 3a 0 3a 3a 3a+3 2a a 2a+3 1 a+1 2a 2a+1 2a+2 3a+1 2a+3 a+3 2a+2 2a+3 1 3a+3 3a a+3 2a+2 2a+3 3 0 a+2 3a 3a+1 a+2 0 2a+2 3a+1 a+1 a 0 2a+1 a+1 3a+1 0 a+1 0 a 2a a+2 a+3 a+1 3 1 generates a code of length 88 over GR(16,4) who´s minimum homogenous weight is 247. Homogenous weight enumerator: w(x)=1x^0+456x^247+747x^248+288x^249+672x^250+1836x^251+1719x^252+852x^253+1656x^254+2736x^255+3147x^256+1164x^257+1824x^258+3648x^259+4023x^260+1272x^261+2100x^262+3912x^263+3417x^264+1428x^265+2040x^266+3648x^267+3852x^268+1008x^269+1812x^270+3300x^271+3201x^272+948x^273+1392x^274+2304x^275+1575x^276+456x^277+540x^278+984x^279+696x^280+204x^281+216x^282+180x^283+135x^284+60x^285+36x^286+36x^287+15x^288 The gray image is a code over GF(4) with n=352, k=8 and d=247. This code was found by Heurico 1.16 in 28.3 seconds.