Former England bowler Jon Lewis failed to make an impact, skying off-spinner Naik to midwicket.
BBC: Franklin cannot prevent Leics win
Rogers had further bad luck in his second over, when Hamilton dropped Smith at midwicket.
BBC: S Africa send Scots crashing out
Newman added just seven to his overnight century before pulling a Robin Peterson delivery to Footitt at deep midwicket.
BBC: Wickets tumble as Middlesex edge into lead
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