Prime p₀= 2779853693994704357 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 34 2 52 2 76 2 70 2 4 2 (?)
a_n: 0 2 84 86 120 122 174 176 252 254 324 326 330 332
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: 332
Found by: [SG-FC] hl
db: batch=82, k=14, 82 34 52 76 70 4

SPT(16)	2779851171081638033	0 24 66 78 86 150 198 204 260 266 314 378 386 398 440 464	-2522913066324
TPT(14)	2779851457765791467	0 2 90 92 132 134 342 344 420 422 522 524 552 554	-2236228912890
SPT(16)	2779852395012399409	0 52 72 154 178 184 198 208 264 274 288 294 318 400 420 472	-1298982304948
SPT(16)	2779852574235273571	0 42 46 52 88 112 132 150 178 196 216 240 276 282 286 328	-1119759430786
SPT(16)	2779852960895359499	0 24 42 44 50 54 104 128 174 198 248 252 258 260 278 302	-733099344858
STPT(10)	2779853616280590527	0 2 12 14 42 44 72 74 84 86	-77714113830
SPT(16)	2779853792748519371	0 2 20 86 92 156 198 236 282 320 362 426 432 498 516 518	98753815014
STPT(10)	2779854195664800311	0 2 30 32 78 80 126 128 156 158	501670095954
STPT(10)	2779854351068630117	0 2 60 62 102 104 144 146 204 206	657073925760
SPT(16)	2779854706110277127	0 14 24 50 54 80 104 120 140 156 180 206 210 236 246 260	1012115572770
STPT(10)	2779854878679194357	0 2 30 32 42 44 54 56 84 86	1184684490000