60 cm frame here with a 6ft4in passenger weighing 16 stone so it could have a bearing although I must add that it isnt a regular occurence but when it does happen it shakes you up a little especially when you still havent found your own cure
Hmmm, well I'm not as tall as you, 6'1", but I've just realised another common factor, it's never happened when I've been lighter, both times I was upwards of 16.5 stone. I no longer have the bikes in question though that was nothing to do with the speed wobbles.
Thinking on it I'm sure the blurb I read, can't find it right now, was critical of some frame design for larger riders. It was along the lines of, a larger frame would be more prone to speed wobble, but a larger frame trying to be a smaller frame was far more likely to suffer, especially if the tubing wasn't upped to accomodate either. By that it meant where the bigger rider was accomodated by basically making the bike taller rather than bigger all round. For example I think the claim would be that a 60cm touring frame would be less likely to suffer than a 60cm race frame made as small as possible. It also mentioned tubing and increased flex due to heavier riders loading the frame more. Custom frames will actually have tubing selected to match the rider weight.
If you or I ordered a custom frame online and decided to put our target/desired weight in, rather than our actual weight, I bet we'd get a different frame to what would be built if the framebuilder saw us
Would be interesting to see if you could lose 2 stone and if that made the speed wobbles vanish.