Prime p₀= 2658456778816632509 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 166 2 88 2 76 2 28 2 (?)
a_n: 0 2 18 20 42 44 210 212 300 302 378 380 408 410
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: 410
Found by: JayPi
db: batch=82, k=14, 16 22 166 88 76 28

SPT(16)	2658454405157624221	0 10 22 30 36 40 46 88 120 162 168 172 178 186 198 208	-2373659008288
SPT(16)	2658454738257397771	0 70 72 130 132 156 222 228 280 286 352 376 378 436 438 508	-2040559234738
SPT(16)	2658454768518541589	0 24 42 48 102 114 128 150 182 204 218 230 284 290 308 332	-2010298090920
TPT(14)	2658455257937386877	0 2 12 14 90 92 114 116 132 134 222 224 300 302	-1520879245632
SPT(16)	2658456126300861083	0 14 38 66 158 168 170 186 218 234 236 246 338 366 390 404	-652515771426
SPT(16)	2658456688869941917	0 6 12 16 46 60 100 126 130 156 196 210 240 244 250 256	-89946690592
STPT(10)	2658456930950238557	0 2 12 14 42 44 72 74 84 86	152133606048
STPT(10)	2658457534663003427	0 2 54 56 72 74 90 92 144 146	755846370918
SPT(16)	2658457887061639163	0 18 44 86 90 156 200 270 284 354 398 464 468 510 536 554	1108245006654
STPT(10)	2658457889397981017	0 2 12 14 42 44 72 74 84 86	1110581348508
STPT(10)	2658459174130420877	0 2 60 62 72 74 84 86 144 146	2395313788368