Out of curiosity, what kind of weights were they? I was under the impression that it has been phased out of many uses because of high toxicity (including via skin absorption when handling it)
They make rubber adhesive strips with four or five wee bits of tungsten in them, but they are too expensive for general use, nor do they offer the precision you get from a continuous length of lead tape. They are also too thick to install on the handle pallet under the grip, which is no problem with lead tape since it's about 0.3 mm thick (rough guess, I haven't actually mic'ed it).