Prime p₀= 2992567179860193539 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 4 2 10 2 28 2 148 2 28 2 (?)
a_n: 0 2 42 44 48 50 60 62 90 92 240 242 270 272
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: Odd-Rod
db: batch=82, k=14, 40 4 10 28 148 28

STPT(10)	2992565886888324287	0 2 30 32 72 74 114 116 144 146	-1292971869252
SPT(16)	2992566590379167563	0 6 24 54 88 130 160 180 214 234 264 306 340 370 388 394	-589481025976
STPT(10)	2992566616226061167	0 2 42 44 72 74 102 104 144 146	-563634132372
SPT(16)	2992566803571392447	0 44 50 60 86 114 116 212 234 330 332 360 386 396 402 446	-376288801092
STPT(10)	2992566956685592211	0 2 30 32 78 80 126 128 156 158	-223174601328
TPT(14)	2992566966226769999	0 2 42 44 132 134 138 140 168 170 210 212 240 242	-213633423540
TPT(14)	2992567303212189629	0 2 42 44 78 80 90 92 180 182 318 320 390 392	123351996090
SPT(16)	2992567707856826549	0 14 32 42 60 92 120 128 204 212 240 272 290 300 318 332	527996633010
SPT(16)	2992567905943534309	0 124 154 184 234 292 310 322 462 474 492 550 600 630 660 784	726083340770
SPT(16)	2992568007285657389	0 30 44 78 120 138 144 180 182 218 224 242 284 318 332 362	827425463850
SPT(16)	2992568170095502121	0 8 32 90 92 126 158 212 216 270 302 336 338 396 420 428	990235308582