puzzle

World's hardest cryptic crossword

1 Leave after finding nothing in big rambling empty space (4,6): (G(O)BI)* DESERT
6 Tolerate swimming in sea that tastes of tarragon (9): BEAR + NAISE*
13 Exterminator has drink within Denmark's borders (5): D(ALE)K
14 Round a great deal, turning out hit that's within hearing (7): O + TOL< + ITH*
15 Some heat to cook rice, getting address in Spain back (7): C(ALO<) RIE* [anagram of rice]
16 People fail to perform with that woman's leaderless energy (8): CH((-H)ER)OKE + E