I use the same method, minus the pillow case and put in a cupboard above a fridge. Temps are not too warm, but cozy and stable. For me, if it hasn't shown a taproot after 36 hours the seed is a dud. I can't see any strain taking 2 weeks to crack using this method. I could be wrong but in my experience it happens quite quickly. If I wait an extra 12 hours the taproot is so long it is difficult to transplant.
Make sure the paper towels remain moist - sometimes I have to sprinkle a little more water on.

If you are sure the seeds are good, maybe the receiver gets too hot. Is it on all the time? Does the temp fluctuate hot and cold; for example, if you turn it off? If so, stabilize your temperatures, just slightly above room temperature is good enough.