Small carrier-cruisers for torpedo boats

How small could an Anglo-Japanese torpedo-boat carrier-cruiser be while carrying at least two boats?

Roughly 5,260 tons, allowing about ten short-range cruisers suited to North Sea and Baltic work.

Dividing the available tonnage into roughly 5,260-ton ships yields a practical flotilla rather than a few oversized experiments. Each cruiser could carry two small attack craft while retaining useful light-cruiser capabilities. Short range would be acceptable for constrained North Sea and Baltic missions, especially with merchant support. The ships could also conduct surface-raiding work when those support arrangements are available.