Prime p₀= 2637638878467988859 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 22 2 58 2 4 2 88 2 10 2 (?)
a_n: 0 2 78 80 102 104 162 164 168 170 258 260 270 272
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: 272
Found by: RFGuy_KCCO
db: batch=82, k=14, 76 22 58 4 88 10

STPT(10)	2637638174496323819	0 2 42 44 60 62 78 80 120 122	-703971665040
TPT(14)	2637638587985641397	0 2 132 134 150 152 210 212 234 236 342 344 372 374	-290482347462
STPT(10)	2637638606259254579	0 2 42 44 60 62 78 80 120 122	-272208734280
SPT(16)	2637638651344790783	0 50 60 78 96 158 170 204 260 294 306 368 386 404 414 464	-227123198076
SPT(16)	2637638871804917131	0 6 30 118 126 130 156 172 186 202 228 232 240 328 352 358	-6663071728
STPT(10)	2637638874345402281	0 2 6 8 48 50 90 92 96 98	-4122586578
STPT(10)	2637638980360382039	0 2 18 20 30 32 42 44 60 62	101892393180
SPT(16)	2637639054365425493	0 6 26 66 96 116 120 126 158 164 168 188 218 258 278 284	175897436634
SPT(16)	2637639549548372101	0 10 66 130 132 150 166 220 252 306 322 340 342 406 462 472	671080383242
SPT(16)	2637639640599579853	0 28 46 54 66 100 168 180 184 196 264 298 310 318 336 364	762131590994
SPT(16)	2637639801891464021	0 2 12 38 66 68 78 108 170 200 210 212 240 266 276 278	923423475162