Prime p₀= 2398875210629618867 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 28 2 28 2 16 2 40 2 76 2 (?)
a_n: 0 2 24 26 54 56 84 86 102 104 144 146 222 224
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: 224
Found by: [SG-FC] hl
db: batch=82, k=14, 22 28 28 16 40 76

SPT(16)	2398873673734549961	0 66 80 98 138 146 180 182 186 188 222 230 270 288 302 368	-1536895068906
STPT(10)	2398873921730671667	0 2 60 62 72 74 84 86 144 146	-1288898947200
TPT(14)	2398874218265004419	0 2 90 92 102 104 120 122 162 164 168 170 258 260	-992364614448
SPT(16)	2398874246914059223	0 24 36 46 130 138 144 166 168 190 196 204 288 298 310 334	-963715559644
SPT(16)	2398874427751173011	0 2 26 30 56 68 128 132 146 150 210 222 248 252 276 278	-782878445856
SPT(16)	2398874432109467617	0 34 70 90 100 142 154 160 204 210 222 264 274 294 330 364	-778520151250
SPT(16)	2398875580356280951	0 22 30 48 52 78 160 168 220 228 310 336 340 358 366 388	369726662084
STPT(10)	2398875750564530009	0 2 12 14 90 92 168 170 180 182	539934911142
TPT(14)	2398875759348815819	0 2 72 74 78 80 90 92 132 134 270 272 378 380	548719196952
STPT(10)	2398875994115347001	0 2 48 50 168 170 288 290 336 338	783485728134
STPT(10)	2398876345829311529	0 2 18 20 30 32 42 44 60 62	1135199692662