Prime p₀= 2317840702618590377 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 4 2 112 2 136 2 10 2 136 2 (?)
a_n: 0 2 54 56 60 62 174 176 312 314 324 326 462 464
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: 464
Found by: eclipse99
db: batch=81, k=14, 52 4 112 136 10 136

SPT(16)	2317839019058140037	0 80 84 92 96 110 126 174 182 230 246 260 264 272 276 356	-1683560450340
SPT(16)	2317839079135426003	0 48 54 94 114 156 208 240 244 276 328 370 390 430 436 484	-1623483164374
SPT(16)	2317839387516733021	0 16 78 82 106 168 196 250 288 342 370 432 456 460 522 538	-1315101857356
STPT(10)	2317840082637721307	0 2 12 14 42 44 72 74 84 86	-619980869070
STPT(10)	2317840297326129941	0 2 30 32 78 80 126 128 156 158	-405292460436
SPT(18)	2317840453725879829	0 28 40 42 60 90 102 160 178 372 390 448 460 490 508 510 522 550	-248892710548
STPT(10)	2317840716999122837	0 2 30 32 42 44 54 56 84 86	14380532460
SPT(16)	2317840825130150597	0 32 116 120 162 222 264 320 396 452 494 554 596 600 684 716	122511560220
STPT(10)	2317840875471766121	0 2 36 38 78 80 120 122 156 158	172853175744
SPT(16)	2317840884955725937	0 30 42 66 70 124 126 132 184 190 192 246 250 274 286 316	182337135560
STPT(10)	2317841117109133697	0 2 42 44 72 74 102 104 144 146	414490543320