As a Real Life (tm) glider pilot with over 350 hours in several different types of gliders, I can state with authority that the weight of a given aircraft does not affect its gliding ratio or distance.
(An important distinction needs to be made here. The best speed for minimum sink is not necessarily the same as the best speed for your best glide ratio. Best L/D speed is usually somewhat higher than that for minimum sink.)
In other words, the same plane will have the same glide ratio at different weights, as long as it is flown at its best glide speed, and that speed changes with its weight. The sink rate will increase with higher weights, however.
What DOES change is that as the best glide speed goes up with an increase in weight, and since the speed has increased, the sink rate will also increase. However, the increase in the sink rate is offset by the higher speed over the ground, resulting in a glide of the same distance from a given height.
Much more information on gliding theory is available at the web site for the Soaring Society of America.
http://www.ssa.org