Prime p₀= 2080869366185009291 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 58 2 22 2 16 2 58 2 40 2 (?)
a_n: 0 2 6 8 66 68 90 92 108 110 168 170 210 212
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: 212
Found by: Landjunge
db: batch=80, k=14, 4 58 22 16 58 40

SPT(16)	2080868496805531417	0 4 12 40 52 54 70 112 144 186 202 204 216 244 252 256	-869379477874
STPT(10)	2080868515231438349	0 2 18 20 30 32 42 44 60 62	-850953570942
SPT(16)	2080868552421282583	0 36 78 84 144 180 196 220 324 348 364 400 460 466 508 544	-813763726708
TPT(14)	2080868674570022147	0 2 30 32 54 56 180 182 192 194 222 224 270 272	-691614987144
SPT(16)	2080868836214504309	0 8 32 44 108 134 150 164 198 212 228 254 318 330 354 362	-529970504982
SPT(16)	2080869119877597001	0 78 138 162 168 172 190 228 232 270 288 292 298 322 382 460	-246307412290
SPT(16)	2080869605591012987	0 6 66 72 102 126 144 170 186 212 230 254 284 290 350 356	239406003696
STPT(10)	2080869640073147681	0 2 6 8 18 20 30 32 36 38	273888138390
STPT(10)	2080869767217375179	0 2 12 14 90 92 168 170 180 182	401032365888
STPT(10)	2080870049415021047	0 2 30 32 42 44 54 56 84 86	683230011756
SPT(16)	2080870064930832521	0 26 36 62 80 110 132 140 162 170 192 222 240 266 276 302	698745823230