Brendan McCullum scored 158 not out (of just 73 balls). He was playing for the Kolkata Knight Riders against the Bangalore Royal Challengers. It occurred on 18 April 2008.
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The highest score by a team in an innings is 246-5 by Chennai Super Kings in 2010
Chennai Super Kings in 2010 IPL Season against Rajasthan Royals in Chennai - 246/5
158 not out against bangalore, which is also the highest score in T20s by any player
158 by Brendon McCullum(2008)
Highest total by a team in IPL 2011 was 232/2 by Kings XI Punjab against Royal Challengers Bangalore.
240/6 vs Punjab
mumbai lost the ipl final 146/10 was the score