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 2 2 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 2 2 0 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 0 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 2a 0 0 generates a code of length 83 over GR(16,4) who´s minimum homogenous weight is 240. Homogenous weight enumerator: w(x)=1x^0+39x^240+48x^243+81x^244+288x^247+18x^248+432x^251+54x^252+6x^256+54x^260+3x^324 The gray image is a code over GF(4) with n=332, k=5 and d=240. This code was found by Heurico 1.16 in 0.109 seconds.