Recent years have seen a surge of interest in distributed residential batteries for households with renewable generation. Yet, assuring these asset investments are profitable for their owners requires additional revenue sources, such as novel ways to access wholesale energy markets. In this paper, we propose a framework in which wholesale market bids are placed on forward energy markets by an aggregator of distributed residential batteries that are controlled in real time to meet the market commitments. The framework can apply either to a single prosumer-owned battery, or to a fleet of distributed residential batteries coordinated by an aggregator. It consists of 3 main stages. In the first stage, an optimal day-ahead or intra-day scheduling of the aggregated storage assets is computed centrally. In the second stage, a bidding strategy is proposed for wholesale energy markets. Finally, in the third stage, a real-time control algorithm based on a smart contract allows coordination of residential batteries to meet the market commitments and maximise self-consumption of local production. Using a case study provided by a large UK-based energy demonstrator, we apply the framework to an aggregator with 70 residential batteries. Experimental analysis is done using real per minute data for demand and production. Results indicate that the proposed algorithm increases the aggregator's revenues by 35% compared to a case without residential flexibility, and increases the selfconsumption rate of the households by a factor of two. The robustness of the results to forecast errors and to communication latency is also demonstrated.