Prime p₀= 2147520471900374999 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 76 2 136 2 100 2 40 2 (?)
a_n: 0 2 30 32 72 74 150 152 288 290 390 392 432 434
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=80, k=14, 28 40 76 136 100 40

STPT(10)	2147519189729641961	0 2 36 38 78 80 120 122 156 158	-1282170733038
SPT(16)	2147519373937821061	0 6 12 36 66 112 162 220 222 280 330 376 406 430 436 442	-1097962553938
STPT(10)	2147519612362367207	0 2 30 32 42 44 54 56 84 86	-859538007792
SPT(16)	2147519657952755707	0 40 70 82 144 192 202 222 244 264 274 322 384 396 426 466	-813947619292
SPT(16)	2147519866728571183	0 16 30 70 76 198 210 238 258 286 298 420 426 466 480 496	-605171803816
SPT(18)	2147519962566500551	0 52 72 82 112 138 150 172 210 238 276 298 310 336 366 376 396 448	-509333874448
SPT(16)	2147520540804757099	0 18 42 48 60 70 88 130 192 234 252 262 274 280 304 322	68904382100
SPT(16)	2147521193562637819	0 24 132 148 252 268 280 322 330 372 384 400 504 520 628 652	721662262820
SPT(16)	2147521557343839077	0 20 24 102 120 134 140 150 224 234 240 254 272 350 354 374	1085443464078
SPT(16)	2147521707195793069	0 4 64 114 138 148 162 172 390 400 414 424 448 498 558 562	1235295418070
STPT(12)	2147522237808838697	0 2 30 32 72 74 132 134 174 176 204 206	1765908463698