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 2 1 1 2a+2 1 0 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 0 1 1 1 2a+2 0 1 1 1 1 1 1 1 1 2 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 1 a+1 3a 1 3a+2 1 1 3a+2 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 1 3a 2 2a+2 1 1 1 2a 2a+1 2a+3 2 a+1 2a+2 1 1 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 3a 2a+1 3a+2 3 a+3 2a a+3 2a 2a+3 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 a+2 a+1 0 2a+2 2a+2 3a+1 3a+2 2a+3 a 0 2a+2 0 2 3 a generates a code of length 85 over GR(16,4) who´s minimum homogenous weight is 248. Homogenous weight enumerator: w(x)=1x^0+450x^248+528x^249+312x^250+510x^252+480x^253+252x^254+381x^256+216x^257+72x^258+192x^260+120x^261+48x^262+90x^264+60x^265+36x^266+90x^268+36x^269+12x^270+24x^272+60x^273+36x^274+48x^276+36x^277+6x^288 The gray image is a code over GF(4) with n=340, k=6 and d=248. This code was found by Heurico 1.16 in 20.6 seconds.