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 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 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 generates a code of length 69 over GR(64,4) who´s minimum homogenous weight is 472. Homogenous weight enumerator: w(x)=1x^0+70x^472+175x^480+3584x^483+259x^488+7x^552 The gray image is a code over GF(8) with n=552, k=4 and d=472. This code was found by Heurico 1.16 in 0.0531 seconds.