The exploration of spatiotemporal chaos within nonlinear science has attracted significant attention recently. This research unveils an advanced framework for the cross-coupled map lattice, introducing a new spatiotemporal chaotic map. Our experimental assessments show that this refined cross-coupled map lattice outperforms its traditional version in chaotic dynamics. Given the increasing importance of hash functions in cryptography, data integrity verification, and data indexing, our study capitalizes on this innovative spatiotemporal chaos model. We devise a cutting-edge hash function utilizing the enhanced cross-coupled map lattice, capable of converting variable-length input data into fixed-size hash outputs of 128, 256, or 512 bits. Rigorous evaluation against diverse attack scenarios confirms the hash function's security and robustness. Our extensive experimental investigation underscores the hash function's solid security attributes, affirming its aptness for applications requiring stringent data integrity and cryptographic safeguards.