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I heard this piece on public radio a few years ago and I haven't been able to track it down. It sounds a bit like Elgar, but I haven't found any pieces that match it.
This is the fourth movement (Molto vivace) of the Serenade for strings in F major (Opus 6) by Felix Weingartner.
The extract corresponding to your audio file can be heard here.
The names of the other movements can be found here.
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