The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 1 1 2a+2 1 2a+2 1 1 1 0 1 1 2a+2 1 1 2a 1 1 1 1 1 2 1 1 1 2a 1 1 1 1 1 1 1 1 1 2a+2 1 1 1 2a+2 1 1 1 1 2 1 1 1 0 2a+2 1 2a+2 1 1 1 1 0 1 1 1 1 2a+2 1 1 2a+2 2a+2 2 1 1 1 2 1 1 1 0 0 0 1 0 0 0 2a+2 1 3a+2 3a+3 2a+3 2a+3 a a+1 3a+2 1 3a+3 1 1 a+1 a 1 3a+1 3a+2 0 3a+3 1 1 a+2 2a+3 3a 2a 2a+2 1 a+1 2 1 1 a+3 3a+3 2a+1 2a+2 2a+1 3 3a+2 a+3 a+3 1 2a 3a+2 2a+2 1 3a 2a+3 a+3 a+2 1 3a+3 a 2a+1 1 1 3a 1 a 2 2a+2 1 1 2a 3a 1 3a+2 1 3 2a+1 1 2 1 3 a+3 a+2 0 3a 2a+2 1 1 2 0 0 1 1 a 3a+3 1 3 1 a 0 2 3a 3a+3 3a+3 a+3 3 3a+3 0 3a a 3 2 1 3a a 3a+2 a+1 0 3a+2 3a+1 2a+1 2 3a+1 2a+2 1 2a+3 2 3a 3a+1 3a 2a+2 2a+3 3 2a 3a+3 a+1 1 3 a+1 3a a 3a+1 3a+1 3a+1 a+1 2a+1 2 3a+3 3a 3 a+1 2a+3 a+2 a+2 2a+1 1 a+3 a+3 2a+1 a 2 2a+2 3a+2 2 a+3 1 3a+1 3a+1 0 3 1 a 3a+1 3 3a+2 1 0 0 0 2a+2 0 0 0 2 2 2 2a+2 2a 2a 2a+2 2a+2 2a 2a 2 2a+2 2 2a 0 2a+2 2 0 2a+2 2 2a+2 0 2a+2 2a+2 2a+2 2a 0 2a+2 0 0 2 2 0 2a 2a 2 2a+2 2 2a 0 2 0 2a+2 2 2a 0 2a+2 2a 2a 2a 2a 2 2a+2 2a 0 0 2 2 2a 2a 0 2a 2a 0 0 0 2a 2a 2a 2a+2 2a+2 2 0 2a 2a 2a+2 2 2 2 0 0 0 0 0 2 2a+2 2a 2 2a+2 2a 2a 2 0 2 2a 2a 2 2a+2 2 2a 0 2 2a 2a+2 2a+2 0 0 2a+2 2 2a 2 2 2a+2 0 0 0 2a+2 2a 2 2 2a+2 2a 0 0 0 2 2a 2 2a+2 2a 2a+2 2a+2 2a+2 2a 2a+2 0 0 0 2 2a+2 2a+2 2a 2a 0 2a+2 2 2a+2 2a+2 2a+2 0 2a+2 0 2 2a+2 0 2 2a+2 0 2a 2 2 0 2a+2 2a+2 2a 2 2 generates a code of length 87 over GR(16,4) who´s minimum homogenous weight is 243. Homogenous weight enumerator: w(x)=1x^0+96x^243+702x^244+144x^245+660x^246+1188x^247+2031x^248+552x^249+1032x^250+2004x^251+3423x^252+792x^253+1752x^254+2748x^255+4662x^256+996x^257+2016x^258+3084x^259+4845x^260+1104x^261+2220x^262+3096x^263+4686x^264+1188x^265+2148x^266+3132x^267+4062x^268+696x^269+1536x^270+1980x^271+2838x^272+492x^273+744x^274+948x^275+1080x^276+144x^277+168x^278+108x^279+240x^280+36x^281+12x^282+48x^283+27x^284+36x^288+15x^292+6x^296+3x^300+9x^304+3x^312+3x^316 The gray image is a code over GF(4) with n=348, k=8 and d=243. This code was found by Heurico 1.16 in 26.8 seconds.