This snippet of a HOT-formatted template could be used by OpenStack Heat to create a distributed logical router.

heat-dlr.yml

heat_template_version: 2013-05-23
description: >
  A simple Heat template to create a distributed logical router.
resources:
  router0:
    type: OS::Neutron::Router
    properties:
      admin_state_up: True
      name: distributed-router
      value_specs: { distributed: "True" }