Prime p₀= 2678329012884737591 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 28 2 46 2 82 2 46 2 16 2 (?)
a_n: 0 2 78 80 108 110 156 158 240 242 288 290 306 308
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: 308
Found by: Asgard2022
db: batch=82, k=14, 76 28 46 82 46 16

STPT(10)	2678326919510238251	0 2 90 92 168 170 246 248 336 338	-2093374499340
STPT(10)	2678326941981860339	0 2 18 20 60 62 102 104 120 122	-2070902877252
SPT(16)	2678327538497316889	0 28 30 42 82 84 112 150 172 210 238 240 280 292 294 322	-1474387420702
SPT(16)	2678328172819925711	0 2 12 38 50 56 78 96 152 170 192 198 210 236 246 248	-840064811880
SPT(16)	2678328230391687857	0 20 86 92 102 126 132 140 162 170 176 200 210 216 282 302	-782493049734
STPT(10)	2678328844054876679	0 2 42 44 60 62 78 80 120 122	-168829860912
STPT(10)	2678329354853466929	0 2 18 20 30 32 42 44 60 62	341968729338
STPT(10)	2678329442086204607	0 2 30 32 42 44 54 56 84 86	429201467016
SPT(16)	2678329503902633389	0 22 54 70 78 100 112 142 210 240 252 274 282 298 330 352	491017895798
STPT(10)	2678329506002388617	0 2 30 32 42 44 54 56 84 86	493117651026
SPT(16)	2678329547339004583	0 70 78 84 160 168 180 226 258 304 316 324 400 406 414 484	534454266992