In the 2010/11 season, Barça had 16 wins in a row. They have 9 right now
In the 2010/11 season, Guardiola's Barça managed to beat the spectacular record of La Liga winning games in a row. From the 16th of October 2010 in Mestalla to the 12nd of February 2011 in El Molinón (Gijon), the Blaugrana team got 16 wins in a row. Those incredible figures enabled the club to beat Di Stefano and Madrid's record of 15 consecutive wins.
Right now, Luis Enrique's Barça is also having a great form and already got 9 wins in a row in La Liga. Since the 9th of January in Camp Nou against Granada, the team has added up 27 consecutive points and almost already clinched the title. They need 7 wins to reach Guardiola's record and to do so it will be necessary to beat Rayo Vallecano this Thursday as well as games against Eibar, Getafe, Villarreal, Real Madrid, Real Sociedad and Valencia.
If they beat those figures, Luis Enrique's Barça could look to break another record: the absolute number of consecutive wins in an European league. This is from the 2006/07 season, and it was Mancini's Inter that did it with 17 consecutive wins.