Sounds more like the way the bobbin has been wound, is it loose and uneven or tight and smooth. Is it properly into the tension spring? being loose doesn't sound right, a thread under correct bobbin tension is usually pretty firm.
Is it loaded into the bobbin holder the right way ?
Also check the bobbin itself hasn't been damaged in some way, not worn/bent. It needs to turn smoothly in the bobbin holder so if one edge has been bent a little this will cause problems.
When winding bobbins, you must have tension on the thread so it winds smoothly with consistent tension on the thread. Most machines have a little tension disc on top or the thread goes through the regular tensioner in order to achieve this. But I always wind bobbins at about 3/4 speed and also add a little extra tension by holding my scissors handle on top of the thread spool so it doesnt bounce around. Also start winding with a little tail pulled through a hole on top of the bobbin and wind until this starting end is covered, then stop and snip off the tail. Then continue winding and watch the thread, giving it a nudge so that it fills evenly across the bobbin, not just all in the middle.
Think of it like the garden hose reel; if you wind it really fast the hose all goes into the middle of the reel, then jams up and you can't get the whole hose onto it. Same thing, wind smoothly and evenly across the whole depth of the bobbin so that the thread is smooth and even. Then when the thread feeds off it will be smooth evenly tensioned and should stitch out evenly.
There is some good trouble shooting information on this page too which might help you to work out what is causing this thread breakage.
http://sewing.about.com/od/sewingmachineindex/a/mtroubleshot.htm
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