Pieceword

With the help of the Across clues only, can you fit the 25 pieces into their correct positions in the empty grid (which, when completed, will exhibit a symmetrical pattern)?

ACROSS

1 Showy but worthless stuff • Beneficial, serviceable 3 With insight • Rotten, decomposed 5 Sudden, quick bright light • Badge of a military officer 7 Police officer of the lowest rank • Make a fool of 9 Outer area • Consensus 11 Cruelty • Anything beyond the Earth’s atmosphere 13 Glib, sycophantic • Buoyancy ring at sea 15 Produced a new version • Stirrer