Prime p₀= 2309610450110462489 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 16 2 88 2 28 2 28 2 16 2 (?)
a_n: 0 2 72 74 90 92 180 182 210 212 240 242 258 260
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: 260
Found by: FritzB
db: batch=81, k=14, 70 16 88 28 28 16

STPT(10)	2309608000131375257	0 2 12 14 42 44 72 74 84 86	-2449979087232
SPT(16)	2309608204347050111	0 26 36 66 72 92 110 116 162 168 186 206 212 242 252 278	-2245763412378
TPT(14)	2309608296289737071	0 2 30 32 126 128 186 188 198 200 210 212 228 230	-2153820725418
TPT(14)	2309608750770930359	0 2 48 50 60 62 90 92 168 170 312 314 408 410	-1699339532130
SPT(16)	2309608985833982837	0 6 20 42 60 144 170 174 182 186 212 296 314 336 350 356	-1464276479652
STPT(10)	2309609953923190181	0 2 6 8 48 50 90 92 96 98	-496187272308
SPT(16)	2309611017579217741	0 30 58 78 88 132 190 228 382 420 478 522 532 552 580 610	567468755252
SPT(16)	2309611930939432417	0 46 90 112 114 132 216 246 280 310 394 412 414 436 480 526	1480828969928
STPT(10)	2309612063435618969	0 2 18 20 30 32 42 44 60 62	1613325156480
SPT(16)	2309612250069025333	0 48 66 70 90 106 126 208 216 298 318 334 354 358 376 424	1799958562844
SPT(16)	2309612344900116679	0 12 22 54 78 112 114 142 180 208 210 244 268 300 310 322	1894789654190