Prime p₀= 2867937175899931241 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 28 2 52 2 154 2 52 2 16 2 (?)
a_n: 0 2 36 38 66 68 120 122 276 278 330 332 348 350
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: 350
Found by: JayPi
db: batch=82, k=14, 34 28 52 154 52 16

SPT(13)	2867934984585110437	0 30 54 60 84 144 162 180 240 264 270 294 324	-2191314820804
STPT(10)	2867935161338319827	0 2 42 44 72 74 102 104 144 146	-2014561611414
SPT(16)	2867936001393337247	0 6 90 126 150 162 252 272 360 380 470 482 506 542 626 632	-1174506593994
SPT(16)	2867936070966773333	0 8 50 74 90 98 134 204 224 294 330 338 354 378 420 428	-1104933157908
STPT(10)	2867936117444056817	0 2 30 32 72 74 114 116 144 146	-1058455874424
STPT(10)	2867936926629165401	0 2 6 8 48 50 90 92 96 98	-249270765840
TPT(16)	2867937444061494947	0 2 30 32 72 74 102 104 162 164 174 176 240 242 312 314	268161563706
SPT(16)	2867937788039524517	0 120 162 182 260 282 366 392 414 440 524 546 624 644 686 806	612139593276
SPT(16)	2867937834736266923	0 126 140 144 186 218 224 246 248 270 276 308 350 354 368 494	658836335682
SPT(16)	2867937842998009501	0 10 42 52 66 90 100 130 198 228 238 262 276 286 318 328	667098078260
SPT(16)	2867938276688732239	0 10 24 48 70 150 154 174 214 234 238 318 340 364 378 388	1100788800998