Absent from being implemented in the recently passed September version update, a series of new Kindred's Crest and High Kindred's Crest battlefields for the Promyvion areas will be added in the near future. Unlike most battlefields and reminiscent of the "Empty Notorious Monster" battlefields introduced during the Chains of Promathia expansion, players will receive items upon the successful completion of these battlefields to exchange for rewards.

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From the official Final Fantasy XI forums:

New Burning Circle Notorious Monster (BCNM) battlefields will be added.
    Locations, entry requirements, and other conditions for the new battlefields will be as follows:

    Orb Type    Price    Location    Battlefield Name    Restrictions

    Phobos Orb    30 Kindred’s Crests   
    Spire of Holla    Empty Hopes    Level: Any
    Time: 15 min.
    Participants: 6
    Spire of Dem    Empty Dreams    Level: Any
    Time: 15 min.
    Participants: 6
    Spire of Mea    Empty Desires    Level: Any
    Time: 15 min.
    Participants: 6

    Deimos Orb    50 Kindred’s Crests
    Spire of Vahzl    Empty Aspirations    Level: Any
    Time: 15 min.
    Participants: 6

    Players victorious in the battlefields at the Spires of Holla, Dem, Mea, and Vahzl will receive items that may, in turn, be traded to the NPC Shami to claim rewards.