Light fields aim to represent visual information in 3D space. They are 4D structures that contain the images of a given scene from a sampled 2D range of viewpoints. When acquired using a lenslet camera, in addition to the ordinary intra-view redundancy, these views have a great deal of inter-view redundancy. In this work we propose a light field codec that fully exploits the 4D redundancy of light fields by using a 4D transform and hexadeca-trees. It initially divides the light field into 4D blocks and computes a 4D Discrete Cosine Transform of each one. Then the transform coefficients of the 4D block are grouped using hexadeca-trees on a bitplane- by-bitplane basis, and the generated stream is encoded using an adaptive arithmetic coder. The proposed codec has been employed to encode the JPEG Pleno lenslet light fields. The rate-distortion results have been assessed using test conditions comparable to the ones presented at the ICIP 2017 Light Field Coding Grand Chal- lenge. The proposed codec, despite being conceptually simple, achieves competitive rate-distortion performance.