Hitherto, the Internet of Things (IoT) has profoundly gained popularity as it continues to impact society in numerous application domains, such as industrial IoT (IIoT). Recently, several schemes in multi-hop Wireless Sensor Networks (WSNs) have proposed clustering algorithms and explicit relay nodes to partially mitigate the path loss and longer transmission time bottlenecks of the Hybrid Energy-Efficient Distributed Clustering protocol (HEED) with a single sink by focusing more on coverage expansion. However, they don't consider the Brute Force technique for sink node placement strategy and a combined metrics clustering procedure to improve the network lifetime and throughput. Thus, this paper proposes an Enhanced Hybrid Energy-Efficient Distributed Clustering (EHEED) protocol with multiple sinks based on the Brute Force technique that exploits all possible candidates for the solution of a problem to check whether each candidate can be a solution or not. Our scheme is based on HEED but unlike the conventional HEED protocols, we use multiple sink nodes. Secondly, a clustering approach based on the distance ratio deduced from the Euclidean distance of a node from the BS and residual energy was used to determine the best cluster head (CH) in each cluster while reducing the rate of cluster head change. The simulation results show that the proposed scheme outperforms the HEED protocol.