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 1 0 1 2a 1 1 1 1 2a+2 1 1 1 1 1 1 1 1 1 2a+2 1 1 2 1 1 1 1 2a+2 1 1 1 1 1 2a+2 2a+2 1 1 1 1 0 1 1 1 1 1 1 1 1 2a 1 1 1 1 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 0 a 3a+3 2a+3 3 0 1 2a+3 1 3a 2a a+3 3 1 3a+2 3 3a+1 a+3 a+3 3 3a a+3 a+2 1 2 a+3 1 3a+2 3a+2 3a+1 2a+2 1 a 3 2 2a+2 3a 1 1 0 3a a+3 a+3 1 3a 2a+1 3a a+1 a+1 a 3a+2 3a+3 1 2a+3 3a+1 3a+3 a 3a+3 2a+1 a+3 2a+3 3a 3a 0 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 2a+2 2a 0 2a 2 2a+2 2 2a 2a+2 0 2a+2 2a 0 2a 2a 2 0 2 2a+2 2a 2 0 0 2a+2 0 0 0 2a 2a 2 2a+2 2a+2 2a 2a 0 2 2a+2 0 2a+2 0 2 2a 0 0 2a+2 2 2a 2a 2 2a 0 0 2a 0 2 2a 2a 2a 2a+2 2 2 2a+2 2a+2 0 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 2a+2 0 2a 2a 0 2 2a+2 2 2a 2 2 0 2 2a+2 2 0 2a 2 2a+2 2 2 0 2a+2 2 0 2a+2 2a 2 2a+2 2a 2a 2a 2a+2 0 2a 2a+2 0 0 2a+2 2 0 2a 2 2 2a 2a 2a 2 2a 2a 0 2a+2 2a 2 2 0 2a 2a+2 2 2a 2a+2 2a 2 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 2 0 2a+2 0 2a+2 2a 2a+2 2 2 2a 2 2a+2 2 0 2a 2a 2a 2a+2 0 0 0 2a 2a 2a 2 0 2 2a+2 2 0 0 0 0 2a+2 2 2a+2 2a+2 2a 0 2a 2a 2 0 2a+2 0 2a+2 0 2a 2a 2a+2 2a+2 2a 2a+2 2a 0 2a 2 2 2a+2 2 2a 2a+2 0 2 generates a code of length 87 over GR(16,4) who´s minimum homogenous weight is 244. Homogenous weight enumerator: w(x)=1x^0+63x^244+60x^246+288x^247+477x^248+228x^250+948x^251+918x^252+396x^254+972x^255+1173x^256+588x^258+876x^259+1290x^260+708x^262+1008x^263+1380x^264+684x^266+972x^267+1176x^268+372x^270+588x^271+408x^272+36x^274+372x^275+150x^276+120x^279+39x^280+15x^284+21x^288+18x^292+12x^296+12x^300+6x^304+3x^308+3x^316+3x^320 The gray image is a code over GF(4) with n=348, k=7 and d=244. This code was found by Heurico 1.16 in 2.06 seconds.