Prime p₀= 2382875954649547319 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 106 2 58 2 22 2 4 2 (?)
a_n: 0 2 18 20 30 32 138 140 198 200 222 224 228 230
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: 230
Found by: Landjunge
db: batch=81, k=14, 16 10 106 58 22 4

STPT(10)	2382875024069873477	0 2 42 44 72 74 102 104 144 146	-930579673842
SPT(16)	2382875157555567989	0 2 12 14 20 44 84 90 152 158 198 222 228 230 240 242	-797093979330
STPT(10)	2382875257280719427	0 2 30 32 72 74 114 116 144 146	-697368827892
STPT(10)	2382875285954435717	0 2 30 32 42 44 54 56 84 86	-668695111602
SPT(16)	2382875295966134777	0 2 20 56 92 126 132 150 152 170 176 210 246 282 300 302	-658683412542
SPT(16)	2382875894931835153	0 78 90 96 160 180 226 240 256 270 316 336 400 406 418 496	-59717712166
STPT(10)	2382875972530552517	0 2 42 44 72 74 102 104 144 146	17881005198
STPT(10)	2382876075500934197	0 2 30 32 60 62 90 92 120 122	120851386878
SPT(16)	2382876141416861947	0 16 42 64 72 142 244 246 280 282 384 454 462 484 510 526	186767314628
TPT(14)	2382876361791599519	0 2 18 20 60 62 72 74 102 104 150 152 228 230	407142052200
SPT(16)	2382876414779405203	0 18 24 46 54 96 120 136 138 154 178 220 228 250 256 274	460129857884