Tuffey, who joined Partick Thistle after being released by the Sky Blues, has played for Northern Ireland's senior team and made good stops in the first half to deny Hammell, Naismith and Burke.
The heavens opened at the break but the referee decided that the game could continue.
Two minutes in and Andy Webster scored after Tuffey had initally saved his header.
In the 76th minute, Peterborough's George Boyd made it 2-0 with a twenty yard strike and with five minutes left, Boyd set up Leigh Griffiths for Scotland's third goal.
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James Scowcroft is one of nine players being released by Crystal Palace. The former City striker joined Palace for £500k from City.
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Former City loanee Lillian Nallis is one of thirteen players being released by Swindon Town. The midfielder who made five plus one sub appearance for City in 2005 scoring twice, has announced his retirement from the English game has returned to his family home in France to consider his future.
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Ady Williams has left Swindon Town. The former City defender had been Swindon's Reserve Team boss but after his court case and discussions with the Swindon Chairman, it was agreed that the Reading legend would leave at the end of the season.
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