Prime p₀= 2665733556447645881 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 94 2 10 2 40 2 16 2 28 2 40 2 (?)
a_n: 0 2 96 98 108 110 150 152 168 170 198 200 240 242
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: 242
Found by: Time_Traveler
db: batch=82, k=14, 94 10 40 16 28 40

SPT(16)	2665731976018224299	0 50 54 128 138 180 182 200 222 240 242 284 294 368 372 422	-1580429421582
STPT(10)	2665732219592532611	0 2 66 68 138 140 210 212 276 278	-1336855113270
STPT(10)	2665732429886299547	0 2 12 14 72 74 132 134 144 146	-1126561346334
SPT(16)	2665732958001527789	0 12 30 44 48 72 78 90 92 104 110 134 138 152 170 182	-598446118092
SPT(16)	2665733447474148101	0 12 26 30 56 102 176 206 282 312 386 432 458 462 476 488	-108973497780
STPT(10)	2665733474989516049	0 2 18 20 30 32 42 44 60 62	-81458129832
SPT(16)	2665733679094654151	0 20 92 120 126 152 216 222 260 266 330 356 362 390 462 482	122647008270
STPT(10)	2665734403359822959	0 2 48 50 90 92 132 134 180 182	846912177078
SPT(20)	2665734453536660731	0 18 42 52 58 102 180 208 210 220 228 238 240 268 346 390 396 406 430 448	897089014850
TPT(16)	2665734554219053487	0 2 84 86 144 146 174 176 282 284 342 344 384 386 450 452	997771407606
SPT(16)	2665734939563794099	0 4 18 40 72 112 144 150 352 358 390 430 462 484 498 502	1383116148218