We study consensus seeking single-integrator multi-agent systems equipped with packet-based communication channels. As the communication bandwidth of such channels is typically limited, it is essential to consider control schemes that lead to the desired performance while not overusing the communication resources. For this purpose, we propose a distributed dynamic event-triggered control scheme that results in aperiodic information exchange between agents, asymptotic consensus, strictly positive lower bounds on the inter-event times (strong Zeno-freeness) and robustness to unknown, non-uniform, and time-varying transmission delays. The proposed framework is such that the local control laws and event-triggering mechanisms can be directly obtained from the number of connected agents and local tuning parameters. The proposed design framework is therefore applicable to large-scale multi-agent systems.