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 0 2 0 2 2a 2a 2a^2+2a+2 2a^2+2a+2 2a^2+2 2a^2+2 0 2 2a 2a^2 2a^2+2a+2 2a^2 0 2a^2 2a^2+2 2 2a^2+2 2a 2a^2 2a^2+2a+2 2a^2+2a 2a^2+2a 2a^2+2a 2a^2+2a 0 2 2a 0 2 2a 2a^2 2a^2+2a 2a^2+2a+2 2a^2+2 2a^2 2a^2+2a+2 2 2a^2+2a 2a^2+2 0 2a 2a^2 2a^2+2a 2a^2+2a+2 2a^2+2 0 2 2a 2a^2 2a^2+2a 2a^2+2a+2 2a^2+2 2a+2 2a+2 2a+2 2a+2 2a+2 2a+2 2a+2 2a+2 0 0 2 2 2a 2a 2a+2 2a+2 2a^2+2 2a^2+2 0 2 2a 2a+2 2a^2+2 0 2 2a^2+2a 2a^2+2a 2a 0 0 2 2a^2+2 2a^2 2a^2+2a 2 2a^2 2a^2+2 2a^2+2a 2a 2a^2+2a 2a 2a 2a+2 2a+2 2a+2 2a^2+2 2a 2a+2 2 0 2a^2 2a^2+2a 2a^2+2 2a^2 2 0 2a^2 2a 2a^2+2 2a^2+2a 2 2a+2 2a^2+2a+2 2a^2+2a+2 2a^2+2a+2 2a^2+2a+2 2a^2+2a 0 2a^2+2a+2 2a 2a^2 2a^2+2a+2 2 0 2a^2+2a 2a^2+2 2a+2 2a^2+2 2a^2 2a^2+2a+2 2 2a+2 2a 0 0 2 2a 2a^2 2a+2 2a^2+2a 2a^2+2a+2 2a^2+2 0 2 2a^2+2 2a^2+2a+2 0 2a^2 2 2a^2+2a+2 2a^2+2 2a^2 2a 2a^2+2a 2a^2+2a 2a^2 0 2a^2+2 2 2a^2+2a+2 2a^2 2a generates a code of length 84 over GR(64,4) who´s minimum homogenous weight is 576. Homogenous weight enumerator: w(x)=1x^0+91x^576+231x^584+3584x^588+91x^592+21x^600+70x^608+7x^672 The gray image is a code over GF(8) with n=672, k=4 and d=576. This code was found by Heurico 1.16 in 0.1 seconds.