Prime p₀= 1910669899167189887 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 16 2 40 2 16 2 166 2 40 2 (?)
a_n: 0 2 24 26 42 44 84 86 102 104 270 272 312 314
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: 314
Found by: Landjunge
db: batch=80, k=14, 22 16 40 16 166 40

TPT(14)	1910668293795543179	0 2 30 32 60 62 72 74 120 122 252 254 300 302	-1605371646708
STPT(12)	1910668469916093959	0 2 12 14 42 44 78 80 108 110 120 122	-1429251095928
SPT(16)	1910668668848863003	0 10 16 114 136 138 150 238 246 334 346 348 370 468 474 484	-1230318326884
SPT(16)	1910668912860876391	0 6 70 90 138 150 156 166 252 262 268 280 328 348 412 418	-986306313496
SPT(16)	1910669323396150873	0 34 48 66 84 106 114 136 138 160 168 190 208 226 240 274	-575771039014
SPT(16)	1910669559752412631	0 6 58 60 72 100 112 130 168 186 198 226 238 240 292 298	-339414777256
SPT(16)	1910670491107885279	0 12 34 48 58 70 132 148 174 190 252 264 274 288 310 322	591940695392
TPT(14)	1910670883798897769	0 2 258 260 288 290 378 380 402 404 552 554 642 644	984631707882
SPT(16)	1910670983132854697	0 44 60 74 84 96 140 174 206 240 284 296 306 320 336 380	1083965664810
SPT(16)	1910671043680443379	0 4 24 30 58 88 90 114 154 178 180 210 238 244 264 268	1144513253492
STPT(10)	1910671267027764077	0 2 42 44 72 74 102 104 144 146	1367860574190