Prime p₀= 2309092621984802681 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 124 2 70 2 76 2 52 2 (?)
a_n: 0 2 18 20 30 32 156 158 228 230 306 308 360 362
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: 362
Found by: MarkRBright
db: batch=81, k=14, 16 10 124 70 76 52

STPT(10)	2309091121900080107	0 2 72 74 102 104 132 134 204 206	-1500084722574
SPT(16)	2309091250183859861	0 38 68 90 98 122 132 140 150 158 168 192 200 222 252 290	-1371800942820
SPT(16)	2309091438840856693	0 34 88 90 100 130 136 148 156 168 174 204 214 216 270 304	-1183143945988
SPT(16)	2309092363243182799	0 52 148 162 168 192 232 240 280 288 328 352 358 372 468 520	-258741619882
STPT(10)	2309092487892317117	0 2 42 44 72 74 102 104 144 146	-134092485564
SPT(16)	2309092513123653911	0 8 20 56 62 90 150 212 216 278 338 366 372 408 420 428	-108861148770
TPT(14)	2309092726164202607	0 2 24 26 30 32 54 56 222 224 312 314 324 326	104179399926
STPT(10)	2309092729198556879	0 2 48 50 90 92 132 134 180 182	107213754198
STPT(10)	2309092763643317537	0 2 12 14 72 74 132 134 144 146	141658514856
SPT(16)	2309092905919557679	0 12 22 34 64 78 82 120 172 210 214 228 258 270 280 292	283934754998
SPT(16)	2309093299386327757	0 6 24 42 64 72 76 94 132 150 154 162 184 202 220 226	677401525076