Prime p₀= 2700966828799904309 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 130 2 4 2 202 2 16 2 10 2 (?)
a_n: 0 2 30 32 162 164 168 170 372 374 390 392 402 404
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: 404
Found by: biodoc
db: batch=82, k=14, 28 130 4 202 16 10

SPT(16)	2700964753749390413	0 38 98 120 218 230 258 260 306 308 336 348 446 468 528 566	-2075050513896
STPT(10)	2700964989025596581	0 2 36 38 78 80 120 122 156 158	-1839774307728
STPT(10)	2700965092102565549	0 2 48 50 60 62 72 74 120 122	-1736697338760
SPT(16)	2700965852151445217	0 14 26 36 44 56 86 92 114 120 150 162 170 180 192 206	-976648459092
STPT(10)	2700966128443940351	0 2 36 38 78 80 120 122 156 158	-700355963958
SPT(16)	2700966417575068921	0 10 42 48 82 120 132 136 192 196 208 246 280 286 318 328	-411224835388
SPT(16)	2700967269028641073	0 10 16 48 94 118 138 184 420 466 486 510 556 588 594 604	440228736764
STPT(10)	2700967407137069039	0 2 12 14 30 32 48 50 60 62	578337164730
STPT(10)	2700967610828425889	0 2 18 20 30 32 42 44 60 62	782028521580
STPT(10)	2700967621344577769	0 2 18 20 30 32 42 44 60 62	792544673460
SPT(16)	2700967997197412947	0 6 36 42 46 72 102 112 120 130 160 186 190 196 226 232	1168397508638