Here's another example: Back in late May, oil was also in contango:
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The spot price at the time was $130, but the 2016 contract was $138.
And yet, at the time, oil had less than 2 more months before the price started crashing.
In the Wiki article I linked above, it mentions that oil was in contango in 2005 and 2006. But recall that in the latter half of 2006, the price of oil did fall from almost $80 to almost $50.
So I'm not sure you can tell much about the future price of oil based on whether it's in contango or not. If anything, it might foretell at least a relatively near-term price decline.