Prime p₀= 2791475435028304949 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 34 2 28 2 40 2 16 2 (?)
a_n: 0 2 12 14 42 44 78 80 108 110 150 152 168 170
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: 170
Found by: [SG-2W]Kurzer
db: batch=82, k=14, 10 28 34 28 40 16

STPT(10)	2791474382843724827	0 2 12 14 72 74 132 134 144 146	-1052184580122
SPT(16)	2791474468304570003	0 18 26 48 60 86 98 158 366 426 438 464 476 498 506 524	-966723734946
SPT(16)	2791474580329369261	0 10 46 60 96 112 126 130 132 136 150 166 202 216 252 262	-854698935688
SPT(16)	2791474917750392521	0 40 46 72 118 198 238 240 268 270 310 390 436 462 468 508	-517277912428
STPT(10)	2791475178366908237	0 2 12 14 42 44 72 74 84 86	-256661396712
STPT(10)	2791475386831584989	0 2 48 50 90 92 132 134 180 182	-48196719960
STPT(10)	2791475890005334307	0 2 12 14 42 44 72 74 84 86	454977029358
SPT(16)	2791476153848840597	0 14 24 42 54 84 234 300 314 380 530 560 572 590 600 614	718820535648
SPT(16)	2791476408751017907	0 30 90 100 106 112 142 150 166 174 204 210 216 226 286 316	973722712958
SPT(16)	2791476464115537697	0 24 126 144 154 160 210 252 364 406 456 462 472 490 592 616	1029087232748
SPT(16)	2791477054177295137	0 10 36 114 120 124 136 154 162 180 192 196 202 280 306 316	1619148990188