Prime p₀= 2313451439124097619 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 28 2 148 2 16 2 10 2 16 2 (?)
a_n: 0 2 42 44 72 74 222 224 240 242 252 254 270 272
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: Landjunge
db: batch=81, k=14, 40 28 148 16 10 16

STPT(10)	2313449745415845737	0 2 30 32 42 44 54 56 84 86	-1693708251882
STPT(10)	2313449819968185497	0 2 30 32 42 44 54 56 84 86	-1619155912122
SPT(16)	2313450113267581697	0 50 66 80 110 156 194 206 264 276 314 360 390 404 420 470	-1325856515922
SPT(16)	2313450359699520121	0 42 72 78 108 112 120 216 262 358 366 370 400 406 436 478	-1079424577498
SPT(16)	2313450884255755207	0 6 10 36 60 112 160 166 216 222 270 322 346 372 376 382	-554868342412
STPT(10)	2313451122807760217	0 2 42 44 72 74 102 104 144 146	-316316337402
SPT(16)	2313451943237309009	0 18 38 48 92 132 150 158 192 200 218 258 302 312 332 350	504113211390
STPT(10)	2313451987052273057	0 2 12 14 42 44 72 74 84 86	547928175438
SPT(16)	2313452395805030069	0 38 74 98 144 150 174 218 240 284 308 314 360 384 420 458	956680932450
STPT(10)	2313452503355772137	0 2 60 62 72 74 84 86 144 146	1064231674518
SPT(16)	2313452714778876859	0 4 52 60 70 112 130 154 198 222 240 282 292 300 348 352	1275654779240