I found a Pieter Luime born on July 28, 1863 in Ouddorp, The Netherlands
His father was Jan Luime and his mother was Jannetje Laauwe.
Pieter had a brother named Cornelis, born on October 19, 1865 in Ouddorp, The Netherlands.
But Cornelis Luime died on October 31, 1865 in Ouddorp.
Jan Luime, his wife and Pieter left Holland to North-America on November 25, 1865.
I hope this is the Pieter you are searching for.
Robert A. van Duuren