Prime p₀= 2250697856960785007 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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 10 2 28 2

STPT(10)	2250697031086907657	0 2 42 44 72 74 102 104 144 146	-825873877350
SPT(16)	2250697052483676593	0 24 38 80 108 150 156 168 266 278 284 326 354 396 410 434	-804477108414
SPT(16)	2250697496349798263	0 18 74 98 120 188 204 230 258 284 300 368 390 414 470 488	-360610986744
STPT(10)	2250697547804061467	0 2 42 44 72 74 102 104 144 146	-309156723540
SPT(16)	2250697586308574203	0 6 10 76 120 124 180 190 210 220 276 280 324 390 394 400	-270652210804
TPT(14)	2250697772566079519	0 2 210 212 312 314 378 380 390 392 432 434 462 464	-84394705488
STPT(10)	2250698185391857319	0 2 18 20 30 32 42 44 60 62	328431072312
SPT(16)	2250698526659078297	0 72 74 86 102 162 194 282 284 372 404 464 480 492 494 566	669698293290
STPT(10)	2250698593624376141	0 2 36 38 78 80 120 122 156 158	736663591134
SPT(16)	2250698764307184377	0 2 42 90 110 120 134 162 272 300 314 324 344 392 432 434	907346399370
SPT(16)	2250698795516893979	0 12 14 38 54 78 90 104 138 152 164 188 204 228 230 242	938556108972