Prime p₀= 2083588304122664627 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 40 2 58 2 76 2 16 2 40 2 (?)
a_n: 0 2 12 14 54 56 114 116 192 194 210 212 252 254
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: 254
Found by: conf [MM]
db: batch=80, k=14, 10 40 58 76 16 40

SPT(16)	2083587249688908109	0 18 42 94 102 108 168 234 238 304 364 370 378 430 454 472	-1054433756518
TPT(14)	2083587306535366061	0 2 48 50 150 152 180 182 216 218 288 290 306 308	-997587298566
SPT(16)	2083587636035954479	0 54 58 88 112 142 160 168 244 252 270 300 324 354 358 412	-668086710148
STPT(10)	2083587938305603781	0 2 6 8 18 20 30 32 36 38	-365817060846
SPT(16)	2083587987072821791	0 90 102 160 196 226 256 288 310 342 372 402 438 496 508 598	-317049842836
SPT(16)	2083588202267908331	0 30 32 92 102 146 156 188 240 272 282 326 336 396 398 428	-101854756296
SPT(16)	2083588318625181877	0 12 40 42 54 124 130 136 210 216 222 292 304 306 334 346	14502517250
STPT(12)	2083588688466413201	0 2 66 68 78 80 138 140 150 152 216 218	384343748574
SPT(16)	2083588713340823369	0 32 38 74 98 120 182 228 314 360 422 444 468 504 510 542	409218158742
STPT(10)	2083588788282446087	0 2 30 32 42 44 54 56 84 86	484159781460
SPT(16)	2083588925494187219	0 44 54 122 210 212 252 264 350 362 402 404 492 560 570 614	621371522592