Prime p₀= 2569899248796298031 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 58 2 4 2 88 2 202 2 (?)
a_n: 0 2 18 20 30 32 90 92 96 98 186 188 390 392
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: 392
Found by: RFGuy_KCCO
db: batch=82, k=14, 16 10 58 4 88 202

STPT(10)	2569898126285317979	0 2 48 50 90 92 132 134 180 182	-1122510980052
TPT(14)	2569898221093950137	0 2 30 32 144 146 150 152 222 224 264 266 294 296	-1027702347894
STPT(10)	2569898341894159889	0 2 18 20 30 32 42 44 60 62	-906902138142
STPT(10)	2569898676941137439	0 2 18 20 30 32 42 44 60 62	-571855160592
STPT(10)	2569898989793769479	0 2 18 20 30 32 42 44 60 62	-259002528552
SPT(16)	2569899209030591377	0 34 70 76 120 154 174 220 300 346 366 400 444 450 486 520	-39765706654
SPT(16)	2569899571316989147	0 34 40 60 82 90 106 124 132 150 166 174 196 216 222 256	322520691116
SPT(16)	2569900027930993259	0 24 38 50 54 78 84 108 164 188 194 218 222 234 248 272	779134695228
SPT(16)	2569900086273235211	0 30 38 62 96 122 140 150 188 198 216 242 276 300 308 338	837476937180
STPT(10)	2569900153729555919	0 2 18 20 30 32 42 44 60 62	904933257888
STPT(10)	2569900492935507647	0 2 24 26 42 44 60 62 84 86	1244139209616