Sexy primes

Twin primes: gap of 2. example: 3,5; 5,7; 11,13 Cousin primes: gap of 4. example 3,7; 7,11; 19,23 Sexy primes: gap of gap of 6; example pairs: 5,11; 7,13 triplets: 5,11,17; 7,13,19; 11,17,23; Quintruplets: only 5,11,17,23,29