Ah, I missed the 'spring' part. Using springs in combination with a fixed degree of free doesn't work well. Not sure how to simulate a wire in the best way, you might want to try the soft body ropes, with some settings too (and attaching rigid bodies for the collisions).
Make sure to not use too small body/shape sizes, and the bodies should not overlap. Attached is a slightly modified demo with bigger shapes that don't overlap.
Thanks,
Erwin
By the way, I also create a .bullet snapshot. You can create such .bullet snapshot by pressing on the '=' key in the Bullet 2.76 demos. Such .bullet file can be opened in the work-in-progress Bullet physics editor, see
http://bullet-physics-editor.googlecode.com
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