Prime p₀= 2636706502677452297 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 136 2 22 2 4 2 52 2 76 2 (?)
a_n: 0 2 72 74 210 212 234 236 240 242 294 296 372 374
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: 374
Found by: RFGuy_KCCO
db: batch=82, k=14, 70 136 22 4 52 76

SPT(16)	2636705135410023137	0 20 42 54 74 80 146 180 236 270 336 342 362 374 396 416	-1367267429160
STPT(10)	2636705498766061571	0 2 36 38 78 80 120 122 156 158	-1003911390726
SPT(16)	2636705795220132599	0 32 42 54 110 120 134 140 162 168 182 192 248 260 270 302	-707457319698
SPT(16)	2636706173184589691	0 20 30 50 66 96 126 150 152 176 206 236 252 272 282 302	-329492862606
STPT(10)	2636706373045372889	0 2 18 20 30 32 42 44 60 62	-129632079408
STPT(10)	2636706374476481771	0 2 36 38 78 80 120 122 156 158	-128200970526
STPT(10)	2636706504232745039	0 2 18 20 30 32 42 44 60 62	1555292742
SPT(16)	2636706682815807419	0 20 24 110 132 164 180 198 224 242 258 290 312 398 402 422	180138355122
STPT(10)	2636706968888049527	0 2 30 32 42 44 54 56 84 86	466210597230
SPT(16)	2636707373306452843	0 64 70 78 88 118 168 180 244 256 306 336 346 354 360 424	870629000546
SPT(16)	2636707506768958537	0 10 12 84 102 144 180 186 280 286 322 364 382 454 456 466	1004091506240