Prime p₀= 2369867721045789161 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 28 2 28 2 10 2 88 2 46 2 (?)
a_n: 0 2 36 38 66 68 96 98 108 110 198 200 246 248
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: 248
Found by: JohnMD
db: batch=81, k=14, 34 28 28 10 88 46

STPT(10)	2369865926241296291	0 2 6 8 48 50 90 92 96 98	-1794804492870
SPT(16)	2369866215450000937	0 42 52 76 82 90 126 150 196 220 256 264 270 294 304 346	-1505595788224
SPT(16)	2369866745732512759	0 18 24 54 130 154 172 174 208 210 228 252 328 358 364 382	-975313276402
SPT(16)	2369867066546005049	0 72 102 140 174 212 218 254 258 294 300 338 372 410 440 512	-654499784112
SPT(16)	2369867309585539501	0 28 66 90 96 118 136 166 192 222 240 262 268 292 330 358	-411460249660
STPT(10)	2369867679052550009	0 2 48 50 90 92 132 134 180 182	-41993239152
SPT(16)	2369868298223681231	0 32 42 78 98 110 126 162 176 212 228 240 260 296 306 338	577177892070
STPT(10)	2369868475912818869	0 2 18 20 30 32 42 44 60 62	754867029708
SPT(16)	2369868527082744931	0 28 46 52 112 180 246 250 258 262 328 396 456 462 480 508	806036955770
SPT(16)	2369868769419975091	0 16 28 42 46 48 130 190 198 258 340 342 346 360 372 388	1048374185930
SPT(16)	2369868911788021393	0 24 60 70 88 168 204 210 214 220 256 336 354 364 400 424	1190742232232