Prime p₀= 2888852538432871007 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 52 2 16 2 46 2 112 2 16 2 (?)
a_n: 0 2 60 62 114 116 132 134 180 182 294 296 312 314
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: 314
Found by: Landjunge
db: batch=82, k=14, 58 52 16 46 112 16

SPT(16)	2888851382337129967	0 42 66 72 102 106 120 156 190 226 240 244 274 280 304 346	-1156095741040
TPT(14)	2888851483711774499	0 2 72 74 120 122 162 164 198 200 240 242 252 254	-1054721096508
STPT(10)	2888851598604098117	0 2 12 14 72 74 132 134 144 146	-939828772890
STPT(10)	2888852032994295419	0 2 42 44 60 62 78 80 120 122	-505438575588
STPT(10)	2888852066347793009	0 2 48 50 60 62 72 74 120 122	-472085077998
STPT(10)	2888852200190761787	0 2 54 56 132 134 210 212 264 266	-338242109220
STPT(10)	2888852706045238481	0 2 6 8 48 50 90 92 96 98	167612367474
SPT(16)	2888853098590379299	0 64 78 82 100 178 190 208 264 282 294 372 390 394 408 472	560157508292
STPT(10)	2888853466134886331	0 2 6 8 48 50 90 92 96 98	927702015324
SPT(16)	2888853949148836129	0 28 40 52 60 90 112 172 180 240 262 292 300 312 324 352	1410715965122
STPT(10)	2888854314773565497	0 2 60 62 72 74 84 86 144 146	1776340694490