Hi trailr,
We cannot advise whether your parent's home can be considered to be your home, we can only point you to the guidance to allow you to make that decision for yourself.
The guidance at
RDRM13050 - Residence: The SRT: Annex A: The principles and characteristics of a home for the purposes of the SRT, describes a home as "a building, or part of a building, a vehicle, vessel or structure of any kind which is used as a home by an individual. It will be somewhere which an individual uses with a sufficient degree of permanence or stability to count as a home," for the purposes of the statutory residence tests.
The second automatic UK test is advising that it is relevant if you spent more than 30 days in the overseas home in the tax year, the second automatic test is not met and you should move on to the third automatic UK test."
Thank you.