TurboTax Self-Employed is for single-member LLCs. You will need TurboTax Business. Partnerships file a 1065 partnership return, then each partner gets a Form K-1 from the partnership to include on their individual personal returns. Partnerships are due by March 15th, 2017.
Here is a link to TurboTax Business for preparing and filing a partnership return:
https://turbotax.intuit.com/small-business-taxes/