The generator matrix 1 0 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 2 1 1 2a 1 1 1 1 1 0 1 1 1 1 1 2a 1 2a 1 1 1 1 1 2a+2 1 1 1 2a 1 1 2 1 1 2 1 1 1 1 1 1 1 2a 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 a 3a+3 0 2a+3 a+1 a 1 0 2a+3 a 1 a+1 2 a+1 a+2 2a+3 1 a+1 a 1 1 3a a+3 0 a+2 1 a+1 2a 2a+3 a+2 2 1 2a+3 1 3a+2 2a+1 2 2a 2a+1 1 3 a+3 3 1 3a+3 a+2 1 a+1 1 1 2a+2 2 a 3a+1 2a+2 2a+2 2a+3 1 3a+1 1 a 2 2a+1 a 2a+1 3 2 3 0 0 2a+3 2a+3 0 a+2 3a+3 1 1 1 a+1 3a+1 3a+2 2a+2 2a a 2 0 0 2a+2 0 0 0 2 2 2 2 2 2 2a+2 2a+2 2a 2 2a 2a+2 2a+2 0 2a+2 2a+2 2a 2 0 2a 0 2a 2 0 2a+2 2a 2a+2 2a+2 2 2a 2a+2 2a 2a 0 2a+2 0 2a+2 2a+2 2a+2 0 2a+2 2a 0 2a 2 2a 0 2a+2 2a+2 2a 2a+2 0 2a 2 0 2a 2a 2a+2 2a 0 0 2a+2 0 0 2 0 2a 2 2a 2 0 2a+2 2a+2 2 0 2 2a 2a+2 2 2a 2 2a 0 0 0 2 0 2 2a+2 0 2 2a+2 2 0 2a 2a+2 0 2a+2 0 0 2a 2a 2 2 2a+2 0 2 0 2a 2a+2 2a+2 0 2 2a 0 2 0 2a+2 2a 2a+2 0 0 2a+2 2 2 0 2a+2 2a+2 2a+2 2 2a+2 2a 2 2 2 0 2a+2 0 2a 2a 2 2a+2 0 2 0 2a+2 2a 2a+2 0 2a 2a 2a+2 2a 2a 2 0 2a 2 2a+2 2a+2 0 2 2a 2a+2 2a 0 2a+2 2a+2 2a 2a+2 0 0 0 0 2a+2 2a+2 2 2a+2 2a 0 2a+2 2 2 2a 2 2a 2a 2 2a+2 2a+2 0 2a+2 2a+2 2a 2a 2a+2 0 2a+2 2a+2 2a 2a 0 2a+2 2 2a+2 2 2 2a 0 2a+2 2 2a 2a 2a 2a 2a 2a+2 2a 2a+2 2a+2 0 0 0 2a+2 0 0 0 2 2a+2 2a+2 2a 0 2a 2a+2 2a 0 2a 2a 0 2 2a+2 2a+2 2a 2a+2 2a+2 2a 0 2a+2 2a+2 0 2 0 0 0 0 2 2a+2 2a+2 generates a code of length 88 over GR(16,4) who´s minimum homogenous weight is 248. Homogenous weight enumerator: w(x)=1x^0+108x^248+72x^249+228x^250+204x^251+357x^252+420x^253+780x^254+372x^255+651x^256+516x^257+1020x^258+396x^259+657x^260+324x^261+1032x^262+576x^263+705x^264+600x^265+1056x^266+804x^267+789x^268+492x^269+1116x^270+468x^271+393x^272+372x^273+684x^274+228x^275+240x^276+204x^277+144x^278+24x^279+72x^280+72x^281+84x^282+27x^284+15x^288+18x^292+30x^296+12x^300+9x^308+9x^312+3x^316 The gray image is a code over GF(4) with n=352, k=7 and d=248. This code was found by Heurico 1.16 in 2.09 seconds.