37 is the most common age for people to write award-winning sf. 21 Hugo and Nebula awards have been made to authors for work published when they were 37-ish:

Greg Egan, Oceanic (Hugo ’99)
Allen Steele, “The Death of Captain Future” (Hugo ’96)
Alan Brennert, “Ma Qui” (Nebula ’91)
David Brin, The Uplift War (Hugo ’88)
George R.R. Martin, “Portraits of His Children” (Nebula ’85)
Nancy Kress, “Out Of All Them Bright Stars” (Nebula ’85)
Gardner Dozois, “Morning Child” (Nebula ‘1984)
John Varley, “Press Enter ” (Nebula ’84 and Hugo ’85)
Octavia Butler, “Bloodchild” (Nebula ’84 and Hugo ’85)
Connie Willis, “Fire Watch” (Nebula ’82 and Hugo ’83)
Connie Willis, “A Letter From The Clearys” (Nebula ’82)
Michael Bishop, No Enemy But Time (Nebula ’82)
Barry Longyear, “Enemy Mine” (Nebula ’79 and Hugo ’80)
Larry Niven, “The Borderland of Sol” (Hugo ’76)
Poul Anderson, “No Truce With Kings” (Hugo ’64)
Walter M Miller, A Canticle for Leibowitz (Hugo ’61)
James Blish, A Case of Conscience (Hugo ’61)

Of course the last of these had already been published in magazine form, and no doubt the timing is similarly questionable for some of the others. Still it makes you think. Or at least, makes me think.