Prime p₀= 2886022549109620727 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 136 2 10 2 88 2 118 2 28 2 (?)
a_n: 0 2 102 104 240 242 252 254 342 344 462 464 492 494
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: 494
Found by: [SG-FC] hl
db: batch=82, k=14, 100 136 10 88 118 28

SPT(16)	2886021494847645991	0 16 18 72 78 100 132 148 180 196 228 250 256 310 312 328	-1054261974736
SPT(16)	2886022112176897711	0 28 30 36 90 120 132 162 196 226 238 268 322 328 330 358	-436932723016
SPT(16)	2886022135204259147	0 54 90 92 134 162 174 176 180 182 194 222 264 266 302 356	-413905361580
STPT(12)	2886022243815539237	0 2 12 14 24 26 180 182 192 194 204 206	-305294081490
SPT(16)	2886022353051200327	0 6 26 56 90 110 126 132 200 206 222 242 276 306 326 332	-196058420400
SPT(16)	2886022481705727979	0 10 18 70 72 90 108 138 172 202 220 238 240 292 300 310	-67403892748
STPT(10)	2886022937534927147	0 2 12 14 42 44 72 74 84 86	388425306420
SPT(16)	2886023621056640947	0 4 130 166 180 232 330 354 442 466 564 616 630 666 792 796	1071947020220
SPT(16)	2886024374536437469	0 18 34 48 52 90 118 124 228 234 262 300 304 318 334 352	1825426816742
STPT(10)	2886024432761005091	0 2 6 8 48 50 90 92 96 98	1883651384364
STPT(10)	2886024605884762787	0 2 30 32 42 44 54 56 84 86	2056775142060