Prime p₀= 2727607592779391237 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 46 2 22 2 58 2 46 2 16 2 (?)
a_n: 0 2 12 14 60 62 84 86 144 146 192 194 210 212
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: JayPi
db: batch=82, k=14, 10 46 22 58 46 16

STPT(10)	2727607034049129887	0 2 30 32 72 74 114 116 144 146	-558730261350
TPT(14)	2727607165157313797	0 2 12 14 72 74 150 152 252 254 282 284 330 332	-427622077440
STPT(10)	2727607218255981167	0 2 30 32 42 44 54 56 84 86	-374523410070
SPT(16)	2727607278692978399	0 32 60 84 102 158 168 204 278 314 324 380 398 422 450 482	-314086412838
SPT(16)	2727607541693220289	0 28 60 90 112 130 132 160 180 208 210 228 250 280 312 340	-51086170948
STPT(10)	2727607590889808951	0 2 30 32 78 80 126 128 156 158	-1889582286
STPT(10)	2727607798731326279	0 2 18 20 30 32 42 44 60 62	205951935042
STPT(10)	2727608698456846121	0 2 30 32 78 80 126 128 156 158	1105677454884
STPT(10)	2727609360548257037	0 2 30 32 72 74 114 116 144 146	1767768865800
STPT(10)	2727609598238346737	0 2 24 26 42 44 60 62 84 86	2005458955500
SPT(16)	2727609731648131999	0 54 58 70 82 114 144 172 180 208 238 270 282 294 298 352	2138868740762