Grid computing infrastructures and applications are increasingly diverse with networks ranging from very high bandwidth optical networks to wireless networks and applications ranging from remote visualization to sensor data collection. For such environments, standard transport protocols such as TCP and UDP are not always sufficient or optimal given their fixed set of properties and their lack of flexibility. As an alternative, we present H-CTP, a high-performance configurable transport protocol that can be used to build customized transport services for a wide range of grid computing scenarios. H-CTP is based on an earlier configurable transport protocol called CTP, but with a collection of optimizations that meet the challenge of providing configurability while maintaining performance that meets the requirements of such demanding applications. This paper motivates the need for customizable transport in this area, presents the design of H-CTP, and gives results from performance studies that compare H-CTP with both CTP and TCP. These show, for example, that H-CTP is able to achieve throughput of over 900 Mbps across Gigabit links. Three diverse grid scenarios are used as example applications and for the H-CTP/TCP comparisons: remote visualization, fast message passing, and sensor grids.