The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 2a+2 2a 1 1 1 1 2a 1 1 1 1 2a+2 1 0 1 1 1 1 1 1 1 2a+2 1 0 1 2 2 1 1 1 1 0 1 2a 1 2a+2 1 1 1 2a 1 1 1 1 2 1 1 1 1 1 2 1 2a+2 1 0 1 1 1 1 1 1 1 1 1 1 0 1 0 2a+2 2a 2 1 3a+2 3a+3 2a+3 2a+1 3 a a+3 1 3a a+2 3a+1 a+1 1 1 0 1 a 3a+3 1 2a 2 a+3 2a+3 1 a+2 1 3 2a+1 3a 2a+2 3a+1 a a+1 1 3a+2 1 2 1 1 3a 3a+2 a+2 0 1 2a 1 2a+2 1 a 0 2 1 2a+2 3a a+2 a 1 3a+2 3a+3 3a+1 2a a+3 1 3a+2 1 2a+2 1 2 2a a+2 3a 2a+2 0 3a a+3 a 0 0 0 1 1 a 3a+3 3a+1 a+1 a+3 a+2 2a+1 2 2a+2 2a a+1 3 3a+2 3a 2a+3 2a+1 3a 2 3a+3 0 3a+1 3a+2 3a+2 a+3 2a+2 a a+3 a+2 3a+2 2a 1 2a+1 3 a a+2 2a+1 3 a+3 2a 2a+3 3a a+3 3a+2 2a 3a+1 a 3 3a+3 2a+1 3a+2 a+1 3 a+1 1 1 3a 2a+2 a+3 a 2a+2 2a+1 a+2 2a a+1 3a+3 3a+1 2a+3 0 2 a+2 0 2a+3 2 a+1 2a+2 a+3 a 1 2a+3 2a+3 generates a code of length 84 over GR(16,4) who´s minimum homogenous weight is 244. Homogenous weight enumerator: w(x)=1x^0+174x^244+432x^245+156x^246+252x^247+369x^248+564x^249+216x^250+144x^251+333x^252+288x^253+120x^254+72x^255+150x^256+192x^257+24x^258+60x^259+75x^260+96x^261+24x^262+12x^263+48x^264+60x^265+12x^267+24x^268+48x^269+12x^270+24x^271+36x^272+48x^273+24x^274+3x^284+3x^300 The gray image is a code over GF(4) with n=336, k=6 and d=244. This code was found by Heurico 1.16 in 0.172 seconds.