As all good Catholics assure us, this verse refers to the church of Rome:
 But if I tarry long, that thou mayest know how thou oughtest to behave thyself in the house of God, which is the church of the living God, the pillar and ground of the truth (1 Tim 3:15, Douay-Rheims Bible).
Speaking of which:
 Salute Prisca and Aquila, my helpers in Christ Jesus,  (Who have for my life laid down their own necks: to whom not I only give thanks, but also all the churches of the Gentiles,)  And the church which is in their house (Rom 16:3-5, Douay-Rheims Bible).
So the house of God is the church of Rome, and the church of Rome is the house of Aquila and Priscilla.
How can it be both? Well as Catholics also assure us, we must distinguish between the earthly head of the church and the heavenly head of the church.
So it follows, from Catholics premises, that Aquila and Priscilla are the vicar and vicaress of Christ.
Don’t be taken in by imposters like Benedict XVI. And for you conclavists or sedevacantists, Pius XII is just another usurper.
The Aquilan-cum-Priscillan lineage represents the true succession.