Prime p₀= 2564053989291746867 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 10 2 34 2 40 2 88 2 16 2 (?)
a_n: 0 2 12 14 24 26 60 62 102 104 192 194 210 212
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: 212
Found by: herby44
db: batch=82, k=14, 10 10 34 40 88 16

STPT(10)	2564053301356416521	0 2 36 38 78 80 120 122 156 158	-687935330346
SPT(16)	2564053338779214767	0 36 56 102 116 144 156 242 294 380 392 420 434 480 500 536	-650512532100
TPT(14)	2564053526825886761	0 2 30 32 78 80 96 98 288 290 360 362 378 380	-462465860106
STPT(10)	2564053579347731741	0 2 6 8 48 50 90 92 96 98	-409944015126
SPT(16)	2564053645215966263	0 26 110 114 120 126 194 204 230 240 308 314 320 324 408 434	-344075780604
SPT(16)	2564053709922897653	0 18 30 54 68 128 146 158 336 348 366 426 440 464 476 494	-279368849214
SPT(16)	2564053999746311833	0 10 76 138 150 154 168 208 246 286 300 304 316 378 444 454	10454564966
SPT(16)	2564054256352369301	0 56 66 80 92 122 132 146 276 290 300 330 342 356 366 422	267060622434
STPT(10)	2564054645824324031	0 2 36 38 78 80 120 122 156 158	656532577164
SPT(16)	2564054782544257907	0 60 66 102 216 234 242 282 284 324 332 350 464 500 506 566	793252511040
STPT(10)	2564055245463761207	0 2 30 32 72 74 114 116 144 146	1256172014340