They surpassed the previous record of 263-5, set by Royal Challengers Bangalore in 2013
Things started well for the Catalans, who took the lead on 23 minutes after Antoine Griezmann teed up Lionel Messi for his 26th league goal of the season.
Darwin Machis levelled the scores on 63 minutes after Oscar Mingueza failed to cut out Luis Suarez's through ball and in the aftermath Barca coach Ronald Koeman was sent off by referee Pablo Gonzalez Fuertes.
Barca sit third in the standings on 71 points, two points behind league leaders Atletico Madrid. They trail great rivals Real Madrid, who also have 71, in second place due to their inferior head-to-head record.