In this task, you need to answer the given multiple-choice question on the physics. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Problem: two different primes may be said torhymearound an integer if they are the same distance from the integer on the number line . for instance , 3 and 7 rhyme around 5 . what integer w between 1 and 20 , inclusive , has the greatest number of distinct rhyming primes around it ? 
Options: a ) 12 , b ) 15 , c ) 17 , d ) w = 18 , e ) 20
d