The generator matrix 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 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 2 0 0 2 0 2 2 2a+2 2a+2 2a+2 2a+2 2a+2 2a+2 0 0 2 2 0 0 2 2 2a+2 2a+2 0 2 2a 2a+2 0 2 2a 2a+2 0 2 2a 2a+2 0 2 2a+2 0 2 2a+2 0 2 2a+2 0 2 2a+2 0 2 2a+2 2a 2a 2a 2a 2a 2a 2a 2a 2a 2a 2a 2a 2a 0 0 0 2 2 0 2 2 0 2a 2 2a+2 0 2 2a 2a+2 2a 2a 0 2 2a 0 0 2 0 2a+2 2 2a+2 0 2a+2 2a+2 2 2 2a+2 2 0 2 2a+2 0 0 2 2a+2 0 2a+2 2 2a 2a 2a 2a 2a 2a 2a 2a 2a 2a 2a 2a 2a+2 2 0 2a+2 2 0 2a+2 2 0 2a 2a 0 2a+2 2 2a 0 0 0 2 2 2 0 2 2a 2a+2 2a+2 2a+2 2a+2 0 0 2 2a+2 2a 2 2a+2 2a 2a 0 0 2a 2a+2 2 2 2a+2 2a 2a 2a+2 2a 2a+2 0 0 0 2 2 2 2a 2a+2 0 2 0 2 2a 2a 2a 2a+2 0 2a 2a+2 2a 2a+2 2 2a+2 2a+2 0 2a+2 0 2a+2 2 2 2a+2 2a 2a 2a 2 0 2a+2 0 2 2a 2a+2 2a+2 2 2 2a 2a+2 0 0 0 2a 2 0 2 2a 2a+2 2a 2 2a+2 0 2a 2a+2 2a 2 0 0 2 2a+2 0 2 2a 2 0 0 2 2a 2 2a 2a 0 2a 0 2 0 2a 2 generates a code of length 85 over GR(16,4) who´s minimum homogenous weight is 248. Homogenous weight enumerator: w(x)=1x^0+69x^248+66x^252+768x^255+42x^256+39x^260+15x^264+12x^268+9x^272+3x^340 The gray image is a code over GF(4) with n=340, k=5 and d=248. This code was found by Heurico 1.16 in 0.125 seconds.