Prime p₀= 2080896501028036499 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 70 2 4 2 130 2 28 2 40 2 (?)
a_n: 0 2 90 92 162 164 168 170 300 302 330 332 372 374
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: 374
Found by: Landjunge
db: batch=80, k=14, 88 70 4 130 28 40

STPT(10)	2080894628964862517	0 2 42 44 102 104 162 164 204 206	-1872063173982
STPT(10)	2080894834666316531	0 2 36 38 78 80 120 122 156 158	-1666361719968
SPT(16)	2080895333830962223	0 18 28 46 58 126 198 210 214 226 298 366 378 396 406 424	-1167197074276
SPT(16)	2080895922598803097	0 30 42 64 76 100 120 142 144 166 186 210 222 244 256 286	-578429233402
STPT(10)	2080896095089892777	0 2 30 32 72 74 114 116 144 146	-405938143722
TPT(14)	2080896410856527981	0 2 78 80 210 212 288 290 498 500 510 512 588 590	-90171508518
STPT(10)	2080896691193960579	0 2 30 32 60 62 90 92 120 122	190165924080
SPT(16)	2080897084571115983	0 14 44 50 54 60 68 90 98 120 128 134 138 144 174 188	583543079484
STPT(10)	2080897208945360129	0 2 18 20 30 32 42 44 60 62	707917323630
SPT(16)	2080897272121696811	0 18 38 72 80 150 158 180 200 222 230 300 308 342 362 380	771093660312
STPT(10)	2080897486781268677	0 2 30 32 42 44 54 56 84 86	985753232178