Prime p₀= 2592872769698525861 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 34 2 52 2 16 2 10 2 46 2 (?)
a_n: 0 2 30 32 66 68 120 122 138 140 150 152 198 200
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 200
Found by: Roadranner
db: batch=82, k=14, 28 34 52 16 10 46

STPT(12)	2592871583629577309	0 2 12 14 42 44 48 50 78 80 90 92	-1186068948552
STPT(10)	2592871703032642061	0 2 30 32 60 62 90 92 120 122	-1066665883800
SPT(16)	2592871940180757973	0 6 40 100 114 180 216 220 240 244 280 346 360 420 454 460	-829517767888
STPT(10)	2592872138110875947	0 2 60 62 72 74 84 86 144 146	-631587649914
SPT(16)	2592872274850627919	0 32 80 84 92 140 182 188 204 210 252 300 308 312 360 392	-494847897942
SPT(16)	2592872417519702827	0 34 36 66 82 106 112 126 130 144 150 174 190 220 222 256	-352178823034
STPT(10)	2592873310682622311	0 2 36 38 78 80 120 122 156 158	540984096450
STPT(10)	2592873669278983547	0 2 30 32 72 74 114 116 144 146	899580457686
SPT(16)	2592874102286835701	0 6 20 50 68 116 120 126 152 158 162 210 228 258 272 278	1332588309840
SPT(16)	2592874300339641949	0 24 54 60 70 82 112 144 190 222 252 264 274 280 310 334	1530641116088
SPT(16)	2592874347145975561	0 28 70 96 120 172 186 208 210 232 246 298 322 348 390 418	1577447449700