Prime p₀= 1949382675345152807 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 70 2 28 2 64 2 28 2 22 2 (?)
a_n: 0 2 42 44 114 116 144 146 210 212 240 242 264 266
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: 266
Found by: Time_Traveler
db: batch=80, k=14, 40 70 28 64 28 22

SPT(16)	1949381054053694383	0 24 58 66 90 124 168 174 310 316 360 394 418 426 460 484	-1621291458424
SPT(16)	1949381356362616283	0 18 56 66 128 150 176 188 228 240 266 288 350 360 398 416	-1318982536524
SPT(16)	1949381742876618971	0 30 72 78 86 92 120 170 258 308 336 342 350 356 398 428	-932468533836
STPT(10)	1949382016686257999	0 2 18 20 30 32 42 44 60 62	-658658894808
STPT(10)	1949382112443924209	0 2 18 20 30 32 42 44 60 62	-562901228598
STPT(10)	1949382510382635857	0 2 42 44 72 74 102 104 144 146	-164962516950
SPT(16)	1949382904695491501	0 38 60 98 108 120 150 158 228 236 266 278 288 326 348 386	229350338694
SPT(16)	1949383035736273567	0 30 114 126 162 174 196 232 294 330 352 364 400 412 496 526	360391120760
STPT(10)	1949383209644318477	0 2 12 14 42 44 72 74 84 86	534299165670
SPT(16)	1949383392822464057	0 32 50 104 264 314 390 404 420 434 510 560 720 774 792 824	717477311250
STPT(10)	1949383513495523891	0 2 30 32 60 62 90 92 120 122	838150371084