Sets of 4 Prime Quadruples

Sequence
The following are the $38$ sets of prime quadruples up to $100 \, 000$:


 * $5, 7, 11, 13$
 * $11, 13, 17, 19$
 * $101, 103, 107, 109$
 * $191, 193, 197, 199$
 * $821, 823, 827, 829$
 * $1481, 1483, 1487, 1489$
 * $1871, 1873, 1877, 1879$
 * $2081, 2083, 2087, 2089$
 * $3251, 3253, 3257, 3259$
 * $3461, 3463, 3467, 3469$
 * $5651, 5653, 5657, 5659$
 * $9431, 9433, 9437, 9439$
 * $13001, 13003, 13007, 13009$
 * $15641, 15643, 15647, 15649$
 * $15731, 15733, 15737, 15739$
 * $16061, 16063, 16067, 16069$
 * $18041, 18043, 18047, 18049$
 * $18911, 18913, 18917, 18919$
 * $19421, 19423, 19427, 19429$
 * $21011, 21013, 21017, 21019$
 * $22271, 22273, 22277, 22279$
 * $25301, 25303, 25307, 25309$
 * $31721, 31723, 31727, 31729$
 * $34841, 34843, 34847, 34849$
 * $43781, 43783, 43787, 43789$
 * $51341, 51343, 51347, 51349$
 * $55331, 55333, 55337, 55339$
 * $62981, 62983, 62987, 62989$
 * $67211, 67213, 67217, 67219$
 * $69491, 69493, 69497, 69499$
 * $72221, 72223, 72227, 72229$
 * $77261, 77263, 77267, 77269$
 * $79691, 79693, 79697, 79699$
 * $81041, 81043, 81047, 81049$
 * $82721, 82723, 82727, 82729$
 * $88811, 88813, 88817, 88819$
 * $97841, 97843, 97847, 97849$
 * $99131, 99133, 99137, 99139$