The Bible says that Solomon built chambers on the wall of the temple, 

The lowest chamber was five cubits wide, the middle was six cubits wide, and the third was seven cubits wide; for he made narrow ledges around the outside of the temple, so that the support beams would not be fastened into the walls of the temple (1 Kings 6.6). 

Since “seven” here is associated with the temple, we are tempted to label this significant, but then what about the occurrences of “six”?

Therefore, I see no reason to ascribe any spiritual significance to this occurrence of seven in the Bible.