Prime p₀= 1572719253745355921 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 38
Found by: crashtech
db: batch=78, k=10, 2 4 2 10 2

STPT(10)	1572716822529543671	0 2 36 38 78 80 120 122 156 158	-2431215812250
SPT(16)	1572716851383339731	0 38 68 138 168 192 242 258 290 306 356 380 410 480 510 548	-2402362016190
SPT(16)	1572716956193874979	0 22 24 60 94 108 120 138 244 262 274 288 322 358 360 382	-2297551480942
SPT(16)	1572717330134005823	0 6 14 20 50 54 78 108 206 236 260 264 294 300 308 314	-1923611350098
SPT(16)	1572717500177074411	0 10 66 76 130 136 166 172 300 306 336 342 396 406 462 472	-1753568281510
STPT(10)	1572718778439493259	0 2 42 44 120 122 198 200 240 242	-475305862662
STPT(10)	1572719526898214711	0 2 30 32 78 80 126 128 156 158	273152858790
TPT(14)	1572719903459695187	0 2 234 236 330 332 390 392 402 404 432 434 504 506	649714339266
TPT(16)	1572720266561991089	0 2 12 14 48 50 72 74 138 140 252 254 420 422 492 494	1012816635168
STPT(10)	1572720847472771177	0 2 24 26 42 44 60 62 84 86	1593727415256
TPT(14)	1572720905722076609	0 2 30 32 78 80 102 104 168 170 300 302 378 380	1651976720688