Chosen Solution

MacBook Pro early 2011, A1278. Everything boots up but is very slow loading. Fans is running loud. Replaced the heat sink, Trackpad, Fan and I still get the same error code: Apple Hardware Test Error: 4SNS/C0000008:Ts0P–124 Now what? Help! Update (02/05/2017)

Sounds like you have some corrosion on the trackpad. Either clean it carefully with some 85% isopropyl alcohol or just replace the trackpad. Here’s the IFIXIT guide you’ll need to follow: MacBook Pro 13" Unibody Early 2011 Trackpad Replacement

I had this error too! I tested the original trackpad & cable in a new machine, error gone. Searched the web and people said the webcam cable could also be to blame. Disconnected webcam cable. All issues stopped.