Energy efficiency is a very crucial issue for battery operated Wireless Sensor Networks (WSNs). Routing plays a major in energy dissipation and it is shown in the literature that Cluster based approach is the most energy effective in any network in comparison to direct or multi hop based approach. Therefore, optimized Clustering became a key point to achieve energy efficiency in Wireless Sensor networks. In this paper, we have designed and implemented a novel protocol in MATLAB in which Cluster Heads are chosen on the basis of energy threshold, minimum average distance from surrounding nodes and farthest distance among Cluster Heads to provide optimal coverage. This paper also compare results of randomly selected CHs and farthest CHs and results demonstrates that farthest chosen CHs provide much better results than randomly selected CHs. To further evaluate performance of our protocol, results of our protocol are compared with LEACH and proposed protocol dominates LEACH in terms of minimizing transmission distance, energy dissipation and hence increasing network lifetime. Apart from this, proposed protocol is based on Poisson distribution because simulation results clearly states that Poisson distribution is very well suited for WSN in comparison to Uniform and Random distribution.