The generator matrix 1 0 1 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1 2 1 1 1 1 2 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 2a+2 2 2a+2 2a+2 0 2a+2 2 2a 1 1 0 1 1 a a+1 0 2a+3 a a+1 1 0 a 2a+3 a+1 1 2 2a+3 a+2 a+3 1 2 1 a+2 a+3 1 2 2a+1 1 0 3a+2 a+3 2a+3 a+2 2 2a 3 a+2 2a+1 a+1 1 3a+2 2a+1 1 2a+1 2 3a+2 2a 1 a a+3 2a+1 a 3a+2 3a+2 a+2 2a+3 3a 3a+1 a+3 a+1 a+3 a+1 2 0 0 2a 2a 2a 2a+2 3a+1 3a+1 3a+1 1 1 1 1 1 1 1 1 1 0 2 0 0 2a+2 0 2 0 2 2a 2a 2a 2a 2 2a+2 2a+2 0 2a+2 0 2a+2 0 2 2 2a 2a 2 2a+2 2a 2 2a 2a+2 2 0 2 2 2a+2 0 2a+2 2a 2a+2 2 2a 0 2a 0 2 2a 2a+2 2 0 0 2a+2 2a 2a 0 2a+2 2a+2 0 2 0 2a+2 2a 2 2a+2 2 0 2a 2 2a+2 0 2a+2 0 2a 2a 2 2a+2 2a 2a+2 2 2a 0 2a+2 2 2 2a 0 0 0 2 2a 2a 0 2a 2 2 0 2 2a 2 2 0 0 2 2 2 0 0 2 2 2 2a 2a 0 2a 2a 2a 2 2a+2 2a+2 2a+2 2 2a+2 2a+2 0 2a+2 2a+2 2 2 2a+2 2a+2 2a+2 2a+2 2a+2 2a 2a 2a 0 0 2a 0 2a 0 2a+2 2a+2 2a 2a+2 0 2a 2 2 2 2 0 0 0 0 2a+2 2a 2a 2a+2 0 2a+2 2a 2a+2 2a+2 0 2a 2a generates a code of length 83 over GR(16,4) who´s minimum homogenous weight is 241. Homogenous weight enumerator: w(x)=1x^0+420x^241+450x^244+1368x^245+270x^248+528x^249+81x^252+18x^256+180x^257+180x^260+456x^261+12x^264+120x^265+9x^268+3x^272 The gray image is a code over GF(4) with n=332, k=6 and d=241. This code was found by Heurico 1.16 in 9.77 seconds.