Prime p₀= 2987351424689339711 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 16 2 10 2 10 2 76 2 10 2 (?)
a_n: 0 2 48 50 66 68 78 80 90 92 168 170 180 182
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: 182
Found by: Asgard2022
db: batch=82, k=14, 46 16 10 10 76 10

SPT(16)	2987350100005905259	0 40 52 54 90 132 160 190 222 252 280 322 358 360 372 412	-1324683434452
STPT(10)	2987350128928323419	0 2 18 20 30 32 42 44 60 62	-1295761016292
STPT(10)	2987350196418426689	0 2 48 50 90 92 132 134 180 182	-1228270913022
SPT(16)	2987350224544531667	0 12 20 24 26 42 66 84 92 110 134 150 152 156 164 176	-1200144808044
SPT(16)	2987351357362530227	0 14 42 84 90 102 110 156 170 216 224 236 242 284 312 326	-67326809484
SPT(16)	2987351375303444533	0 30 48 96 118 154 156 160 174 178 180 216 238 286 304 334	-49385895178
SPT(16)	2987351655709487699	0 2 20 24 48 80 204 252 260 308 432 464 488 492 510 512	231020147988
STPT(10)	2987351703049723907	0 2 42 44 72 74 102 104 144 146	278360384196
SPT(16)	2987351760446788627	0 60 76 112 144 180 184 216 250 282 286 322 354 390 406 466	335757448916
STPT(10)	2987351907313950929	0 2 18 20 30 32 42 44 60 62	482624611218
STPT(10)	2987352022099242797	0 2 24 26 42 44 60 62 84 86	597409903086