Data Sharing of Certain Records

Data Sharing of Certain Records

We have various lead types that are classified within the CRM. Is there a way we can share only certain types of leads from a lead owner to a group, without having to share ALL of the leads of the lead owner?

For example, the lead owner may have two types of leads, "Lead Type 1" and "Lead Type 2". The lead owner needs to be able to share "Lead Type 1" records with a specific group without sharing the other leads, such as "Lead Type 2". 

We have been unable to figure this out. It seems like every time we setup data sharing groups, that group can see ALL the leads, which is not what we want.