Prime p₀= 2797020070623426077 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 64 2 28 2 40 2 40 2 34 2 (?)
a_n: 0 2 84 86 150 152 180 182 222 224 264 266 300 302
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: 302
Found by: Time_Traveler
db: batch=82, k=14, 82 64 28 40 40 34

STPT(10)	2797018972592732099	0 2 18 20 60 62 102 104 120 122	-1098030693978
STPT(10)	2797019002167721781	0 2 36 38 228 230 420 422 456 458	-1068455704296
SPT(16)	2797019116325862161	0 2 38 110 138 156 158 200 318 360 362 380 408 480 516 518	-954297563916
SPT(16)	2797019347826305559	0 20 60 90 132 150 152 174 200 222 224 242 284 314 354 374	-722797120518
SPT(16)	2797019872220639833	0 4 10 18 34 36 60 76 78 94 118 120 136 144 150 154	-198402786244
STPT(10)	2797019920657863947	0 2 12 14 72 74 132 134 144 146	-149965562130
SPT(16)	2797020336282510587	0 2 12 14 30 36 42 60 86 104 110 116 132 134 144 146	265659084510
TPT(14)	2797020338554427471	0 2 66 68 78 80 120 122 246 248 258 260 300 302	267931001394
SPT(16)	2797020455892629731	0 6 42 46 88 120 160 162 196 198 238 270 312 316 352 358	385269203654
TPT(14)	2797020597626817389	0 2 18 20 42 44 48 50 78 80 168 170 198 200	527003391312
SPT(16)	2797020868377332227	0 16 30 42 46 70 96 186 220 310 336 360 364 376 390 406	797753906150