Prime p₀= 2377869044762676581 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 94 2 40 2 46 2 82 2 34 2 40 2 (?)
a_n: 0 2 96 98 138 140 186 188 270 272 306 308 348 350
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: 350
Found by: Landjunge
db: batch=81, k=14, 94 40 46 82 34 40

STPT(10)	2377867045982854967	0 2 30 32 72 74 114 116 144 146	-1998779821614
STPT(10)	2377867146845031197	0 2 30 32 72 74 114 116 144 146	-1897917645384
TPT(14)	2377867312392747809	0 2 18 20 30 32 60 62 102 104 138 140 240 242	-1732369928772
SPT(16)	2377867378751886247	0 22 36 84 94 132 160 172 234 246 274 312 322 370 384 406	-1666010790334
SPT(16)	2377868168327692669	0 10 54 90 100 114 142 154 180 192 220 234 244 280 324 334	-876434983912
STPT(10)	2377868398141911089	0 2 18 20 30 32 42 44 60 62	-646620765492
SPT(16)	2377869096189329999	0 14 78 98 120 152 168 200 222 254 270 302 324 344 408 422	51426653418
SPT(16)	2377869210807853223	0 14 68 74 108 110 116 126 308 318 324 326 360 366 420 434	166045176642
STPT(10)	2377869884464230851	0 2 36 38 78 80 120 122 156 158	839701554270
SPT(16)	2377870405328288603	0 6 14 54 74 80 108 110 174 176 204 210 230 270 278 284	1360565612022
STPT(10)	2377870614787313489	0 2 18 20 30 32 42 44 60 62	1570024636908