AlliumCepa: Except the checkers on the eight-point and 13-point will necessitate an additional rolls, I believe.
With doubles: To bear off the two checkers starting on 24 will require two rolls of double-six and for the opponent to clear the 12-point. Double-fives would be satisfactory here too.
Two more double-sixes, double-fives, or double-fours will get four of the five checkers from the 13-point home. One more double-six, -five, or -four will get the fifth checker home and also two checkers from the 8-point.
Now another high double roll will get the final checker home plus three checkers borne off, leaving 12. Three more high enough doubles will clear the board. So you could do it with nine rolls of sufficiently large doubles and possibly some assistance from your opponent clearing a point or two.