There are a growing number of venues to publish your data. Other than 'data papers' offered by commercial publishers none of these are exclusive, so you may think of using more than one.
The University of Canterbury Research Repository (UCRR) is a collection of student and staff research, including theses, papers., conference contributions and data.
Though student work has always contained research data (maps, tables, figures &tc.) data appendices are becoming increasingly common, and are welcomed as part of the work submitted. The UCRR also welcomes all research datasets, and can offer the researcher a place to permanently archive research data.
Datasets can be submitted through the UC research information system, Profiler. Submitting work is simple, and full instructions are provided.
Contact your local Subject Librarian for help in submitting your datasets - especially if they are large or complex.