Prime p₀= 2201677118348779439 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 106 2 28 2 52 2 136 2 40 2 (?)
a_n: 0 2 60 62 168 170 198 200 252 254 390 392 432 434
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: 434
Found by: Landjunge
db: batch=81, k=14, 58 106 28 52 136 40

STPT(10)	2201676253873503731	0 2 36 38 78 80 120 122 156 158	-864475275708
SPT(16)	2201676379821636919	0 48 60 64 88 90 102 192 340 430 442 444 468 472 484 532	-738527142520
SPT(16)	2201676434730659507	0 26 54 60 62 90 92 152 174 234 236 264 266 272 300 326	-683618119932
STPT(10)	2201676467254198547	0 2 30 32 42 44 54 56 84 86	-651094580892
SPT(16)	2201676643410356639	0 20 38 60 90 120 132 134 198 200 212 242 272 294 312 332	-474938422800
SPT(16)	2201676701974875871	0 18 58 70 76 120 202 246 292 336 418 462 468 480 520 538	-416373903568
SPT(16)	2201677594927024037	0 14 24 32 62 80 84 104 180 200 204 222 252 260 270 284	476578244598
SPT(16)	2201678011361274871	0 12 28 42 78 102 126 148 150 172 196 220 256 270 286 298	893012495432
TPT(14)	2201678344371643997	0 2 30 32 72 74 144 146 210 212 252 254 444 446	1226022864558
SPT(16)	2201678510552392453	0 18 40 106 114 126 148 150 184 186 208 220 228 294 316 334	1392203613014
SPT(16)	2201678690847920857	0 4 34 42 84 130 136 166 180 210 216 262 304 312 342 346	1572499141418