Prime p₀= 2089017187327842071 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 88 2 40 2 88 2 124 2 22 2 (?)
a_n: 0 2 18 20 108 110 150 152 240 242 366 368 390 392
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: 392
Found by: gemini8
db: batch=80, k=14, 16 88 40 88 124 22

STPT(10)	2089015449595948607	0 2 30 32 42 44 54 56 84 86	-1737731893464
SPT(16)	2089015727702187523	0 24 46 96 126 130 150 220 240 310 330 334 364 414 436 460	-1459625654548
STPT(10)	2089015795883845469	0 2 12 14 90 92 168 170 180 182	-1391443996602
SPT(16)	2089016266468071583	0 10 24 30 54 88 130 144 220 234 276 310 334 340 354 364	-920859770488
SPT(16)	2089016351677064659	0 48 72 114 142 204 232 252 280 300 328 390 418 460 484 532	-835650777412
SPT(16)	2089016504086464769	0 4 42 48 60 78 82 148 354 420 424 442 454 460 498 502	-683241377302
SPT(16)	2089017574561091333	0 8 38 78 84 90 104 120 164 180 194 200 206 246 276 284	387233249262
STPT(10)	2089017621029987699	0 2 18 20 30 32 42 44 60 62	433702145628
SPT(16)	2089017701180275067	0 2 24 42 44 60 66 90 206 230 236 252 254 272 294 296	513852432996
SPT(16)	2089017731949379279	0 28 88 90 100 102 114 184 228 298 310 312 322 324 384 412	544621537208
SPT(16)	2089017814093513873	0 6 16 136 160 168 208 238 246 276 316 324 348 468 478 484	626765671802