Prime p₀= 2097853656638770307 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 76 2 10 2 124 2 52 2 16 2 (?)
a_n: 0 2 54 56 132 134 144 146 270 272 324 326 342 344
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: 344
Found by: Landjunge
db: batch=80, k=14, 52 76 10 124 52 16

STPT(10)	2097852708134260697	0 2 42 44 72 74 102 104 144 146	-948504509610
STPT(10)	2097852796069955801	0 2 30 32 60 62 90 92 120 122	-860568814506
STPT(10)	2097852870830642381	0 2 30 32 78 80 126 128 156 158	-785808127926
SPT(16)	2097853066959496039	0 70 84 114 118 142 154 160 222 228 240 264 268 298 312 382	-589679274268
STPT(10)	2097853121122812671	0 2 36 38 78 80 120 122 156 158	-535515957636
SPT(16)	2097853335752108747	0 14 36 72 92 114 116 120 176 180 182 204 224 260 282 296	-320886661560
STPT(10)	2097854270415453227	0 2 60 62 72 74 84 86 144 146	613776682920
SPT(16)	2097854349063528527	0 24 26 44 54 110 114 134 156 176 180 236 246 264 266 290	692424758220
STPT(10)	2097854533578709847	0 2 30 32 42 44 54 56 84 86	876939939540
SPT(16)	2097854715443830723	0 28 30 70 84 90 118 154 204 240 268 274 288 328 330 358	1058805060416
STPT(10)	2097855493035484277	0 2 30 32 42 44 54 56 84 86	1836396713970