Puzzle of the Week #326 - Inch Centimetre Prime

I am thinking of a distance, less than 200m, which is an exact whole number of inches and also an exact whole number of centimetres (one inch is precisely 2.54cm).

The number of inches is one more than a prime number.

The number of centimetres is one more than a prime number.

The sum of the number of inches and the number of centimetres is also one more than a prime number.

 

What is the distance?