Prime p₀= 2088312104497498949 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 124 2 10 2 40 2 16 2 (?)
a_n: 0 2 12 14 42 44 168 170 180 182 222 224 240 242
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: 242
Found by: Landjunge
db: batch=80, k=14, 10 28 124 10 40 16

STPT(10)	2088310418607919967	0 2 24 26 42 44 60 62 84 86	-1685889578982
STPT(10)	2088310975071013499	0 2 30 32 120 122 210 212 240 242	-1129426485450
SPT(16)	2088311436284137189	0 142 160 184 198 202 210 222 340 352 360 364 378 402 420 562	-668213361760
SPT(16)	2088311541883572007	0 66 70 94 100 114 126 244 252 370 382 396 402 426 430 496	-562613926942
STPT(10)	2088311680839310019	0 2 18 20 30 32 42 44 60 62	-423658188930
SPT(16)	2088311919614010397	0 10 54 66 82 90 124 150 196 222 256 264 280 292 336 346	-184883488552
SPT(16)	2088312589761732869	0 2 12 68 72 78 120 174 218 272 314 320 324 380 390 392	485264233920
TPT(14)	2088312618116407271	0 2 30 32 78 80 138 140 156 158 276 278 318 320	513618908322
SPT(16)	2088313231712888093	0 8 20 36 86 104 144 156 158 170 210 228 278 294 306 314	1127215389144
STPT(10)	2088313598500487327	0 2 30 32 72 74 114 116 144 146	1494002988378
SPT(16)	2088313768418311319	0 12 18 32 68 72 78 110 120 152 158 162 198 212 218 230	1663920812370