The spirit of innovation is again taking wing in Parkville, with a new push by city leaders and the private sector to foster a 21st-century hotbed of startups, particularly in advance manufacturing and cost-saving technology for the insurance industry. The plans envision a neighborhood of not only early-stage companies but new apartments, more restaurants, a parking garage and entertainment venues — all existing together in a campus-like atmosphere a short walk from Pope Park and West Hartford’s Park Road. A significant boost could come to the district if the city is successful in vying for up to $50 million in grants over five years from the state’s “Innovation Corridor” program, launched in October. The program is part of Gov. Ned Lamont’s broader, “economic action” program to spur the state’s economy, add jobs and revitalize cities. Parkville is especially suited to an innovation district, proponents say, because it has the buildings, though some are vacant, others blighted. It also is close to amenities such as the Parkville Market, which is expanding, and a CTfastrak bus station. The area also is located in an Opportunity Zone.