  Targeting at the realization of scalable photonic quantum technologies, the
generation of many photons, their propagation in large optical networks, and a
subsequent detection and analysis of sophisticated quantum correlations are
essential for the understanding of macroscopic quantum systems. In this
experimental contribution, we explore the joint operation of all mentioned
ingredients. We benchmark our time-multiplexing framework that includes a
high-performance source of multiphoton states and a large multiplexing network,
together with unique detectors with high photon-number resolution, readily
available for distributing quantum light and measuring complex quantum
correlations. Using an adaptive approach that employs flexible time bins,
rather than static ones, we successfully verify high-order nonclassical
correlations of many photons distributed over many modes. By exploiting the
symmetry of our system and using powerful analysis tools, we can analyze
correlations that would be inaccessible by classical means otherwise. In
particular, we produce on the order of ten photons and distribute them over 64
modes. Nonclassicality is verified with correlation functions up to the 128th
order and statistical significances of up to 20 standard deviations.
