Walking would also produce minimal time dilation, making the particles in the walker's body minimally younger on return than they would have been if the walker had stayed put.
Well, that depends on which direction you walk. Standing on the earth, you are already moving rather quickly toward the east. Therefore, if you walk west, you are actually slowing down, so time dilation would go in the opposite direction. Now, if we include the motion of the earth around the sun, the motion of the solar system through the galaxy, etc., it gets more complicated. In short, the direction you walk determines whether the time dilation is positive or negative.