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T-SQL, 680 bytes
CREATE TABLE g(c INT,s geometry)
INSERT g SELECT c,geometry::Point(x,y,0).STBuffer(.4)
FROM(VALUES(1,7,8),(1,13,9),(1,14,9),(1,15,9),(2,2,14),(2,3,13),(2,4,12)
,(2,8,8),(2,9,9),(2,10,10),(2,11,11),(2,8,1),(2,12,4),(2,13,3),(2,14,2)
,(3,1,7),(3,2,7),(3,3,7),(3,4,7),(3,5,7),(3,6...