Prime p₀= 2222600517461028959 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 106 2 58 2 28 2 76 2 58 2 (?)
a_n: 0 2 102 104 210 212 270 272 300 302 378 380 438 440
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: 440
Found by: Landjunge
db: batch=81, k=14, 100 106 58 28 76 58

TPT(14)	2222598561149792171	0 2 78 80 90 92 108 110 126 128 150 152 168 170	-1956311236788
STPT(10)	2222598781150096211	0 2 36 38 78 80 120 122 156 158	-1736310932748
STPT(10)	2222599546828621757	0 2 30 32 42 44 54 56 84 86	-970632407202
STPT(10)	2222599695802821659	0 2 18 20 30 32 42 44 60 62	-821658207300
SPT(16)	2222600210559707591	0 8 18 30 78 156 170 198 200 228 242 320 368 380 390 398	-306901321368
SPT(16)	2222600292944012833	0 4 24 54 78 90 118 124 174 180 208 220 244 274 294 298	-224517016126
SPT(16)	2222600559595564223	0 6 60 116 180 204 210 236 258 284 290 314 378 434 488 494	42134535264
STPT(10)	2222600651939645207	0 2 24 26 42 44 60 62 84 86	134478616248
SPT(16)	2222601092734021501	0 52 60 76 90 112 208 222 286 300 396 418 432 448 456 508	575272992542
SPT(16)	2222601343852944529	0 24 40 60 100 132 150 184 378 412 430 462 502 522 538 562	826391915570
STPT(10)	2222601576885795107	0 2 30 32 60 62 90 92 120 122	1059424766148