Prime p₀= 2297993878292529449 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 40 2 10 2 28 2 34 2 10 2 (?)
a_n: 0 2 48 50 90 92 102 104 132 134 168 170 180 182
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: 182
Found by: Time_Traveler
db: batch=81, k=14, 46 40 10 28 34 10

SPT(16)	2297992748013050827	0 96 166 244 280 316 330 454 456 580 594 630 666 744 814 910	-1130279478622
SPT(16)	2297992894294087597	0 6 22 34 40 90 106 120 136 150 166 216 222 234 250 256	-983998441852
TPT(14)	2297992952666223299	0 2 48 50 60 62 102 104 168 170 180 182 210 212	-925626306150
SPT(16)	2297993290166542369	0 18 52 142 154 178 214 234 238 258 294 318 330 420 454 472	-588125987080
TPT(14)	2297993297346160229	0 2 48 50 90 92 102 104 132 134 210 212 252 254	-580946369220
STPT(10)	2297993782804439771	0 2 6 8 18 20 30 32 36 38	-95488089678
STPT(10)	2297994560631999077	0 2 30 32 60 62 90 92 120 122	682339469628
SPT(16)	2297994617745852607	0 36 64 72 82 106 112 126 220 234 240 264 274 282 310 346	739453323158
TPT(14)	2297994737274369671	0 2 18 20 66 68 126 128 150 152 156 158 168 170	858981840222
STPT(10)	2297994983113109879	0 2 18 20 30 32 42 44 60 62	1104820580430
SPT(18)	2297995018579642609	0 52 54 78 82 100 112 168 198 244 274 330 342 360 364 388 390 442	1140287113160