Are there Any More Unitary Perfect Numbers?

Open Question
Apart from the ones which are known about, are there any more unitary perfect numbers?

From Sequence of Unitary Perfect Numbers:

Progress
It is known that any larger unitary perfect number must have the following properties:
 * It must have at least $8$ prime factors
 * It must be divisible by a power of $10$ greater than $2^{10}$.