Die Duo II

You and your friend are both rolling $6-$sided dice. Both dice are fair in the sense that each side appears with probability $1/6$. Your friend's die has the values $111666$ on the sides. You get to select the sides of your own die under the following conditions: All values must be between $1$ and $6$, inclusive of both, and they must sum to $21$. An example would be $223455$. The winner is the person who rolls a strictly higher value. What die would you select to simultaneously maximize your winning probability and minimize your friend's winning probability? Enter the die's values in non-decreasing order from left to right.