Prime p₀= 1248750847707100217 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: vaughan
db: batch=77, k=10, 2 28 2 10 2

TPT(14)	1248749722366589381	0 2 78 80 120 122 180 182 306 308 330 332 360 362	-1125340510836
SPT(16)	1248749825035386259	0 24 34 42 78 150 174 180 232 238 262 334 370 378 388 412	-1022671713958
STPT(10)	1248749826203782451	0 2 6 8 48 50 90 92 96 98	-1021503317766
SPT(16)	1248750137515418777	0 30 50 54 56 92 120 134 312 326 354 390 392 396 416 446	-710191681440
STPT(10)	1248750481737331751	0 2 6 8 48 50 90 92 96 98	-365969768466
SPT(16)	1248750821794865299	0 18 22 30 78 102 114 148 204 238 250 274 322 330 334 352	-25912234918
STPT(10)	1248751187049287819	0 2 42 44 60 62 78 80 120 122	339342187602
SPT(16)	1248751591754437937	0 14 26 60 62 80 144 150 176 182 246 264 266 300 312 326	744047337720
STPT(10)	1248751718702954927	0 2 24 26 42 44 60 62 84 86	870995854710
STPT(10)	1248751832037703727	0 2 24 26 42 44 60 62 84 86	984330603510
SPT(16)	1248752259385188619	0 12 28 118 144 172 190 204 298 312 330 358 384 474 490 502	1411678088402