Dara would fit. You'd only need 12 pegs each. Extra could be just in case you lost some. From Board Game Geek-Dara:
A game from Nigeria that may be played by two players or teams. Traditionally the game was played on an area consisting of 5x6 spaces using sticks or stones for pieces.
The game begins with the players taking alternating turns placing one of their twelves pieces in an empty space. Once all of the pieces have been placed, the players alternate moving one of their pieces into an adjacent empty space. Diagonal movement is not allowed.
When a player moves a piece to cause three of their pieces to be in a row, that player may remove one opposing piece that is not part of a row of three such pieces. Players are not permitted to make a move which results in more than three of their pieces being in a row. A player wins the game when the opposing player is unable to make a a row of three pieces.