Prime p₀= 2250307477985999867 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: Orange Kid
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2250305029061424859	0 42 58 102 168 222 228 240 310 322 328 382 448 492 508 550	-2448924575008
TPT(14)	2250305052306434111	0 2 6 8 216 218 288 290 366 368 420 422 456 458	-2425679565756
SPT(16)	2250305724525170057	0 6 12 26 72 92 110 144 212 246 264 284 330 344 350 356	-1753460829810
STPT(10)	2250305767670307047	0 2 30 32 42 44 54 56 84 86	-1710315692820
STPT(10)	2250307212906429041	0 2 30 32 78 80 126 128 156 158	-265079570826
SPT(16)	2250307307217796889	0 12 20 54 90 104 108 128 234 254 258 272 308 342 350 362	-170768202978
STPT(10)	2250307584959150699	0 2 12 14 90 92 168 170 180 182	106973150832
SPT(16)	2250307693013038723	0 4 28 58 60 78 94 100 108 114 130 148 150 180 204 208	215027038856
STPT(10)	2250307693638858587	0 2 24 26 42 44 60 62 84 86	215652858720
SPT(16)	2250307958245647301	0 30 36 40 60 78 148 210 268 330 400 418 438 442 448 478	480259647434
SPT(16)	2250308447471070439	0 82 88 124 168 172 192 234 238 280 300 304 348 384 390 472	969485070572