Prime p₀= 2601275941366032389 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 28 2 28 2 178 2 40 2 (?)
a_n: 0 2 18 20 30 32 60 62 90 92 270 272 312 314
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: 314
Found by: JayPi
db: batch=82, k=14, 16 10 28 28 178 40

SPT(16)	2601274299106454801	0 12 98 162 168 176 180 258 260 338 342 350 356 420 506 518	-1642259577588
STPT(10)	2601274583908525697	0 2 30 32 42 44 54 56 84 86	-1357457506692
TPT(14)	2601274610780745671	0 2 78 80 186 188 198 200 270 272 336 338 366 368	-1330585286718
SPT(16)	2601275072232920761	0 6 30 42 46 52 126 130 348 352 426 432 436 448 472 478	-869133111628
STPT(10)	2601275178222807797	0 2 60 62 72 74 84 86 144 146	-763143224592
SPT(16)	2601275595475917149	0 48 62 98 150 164 182 188 234 240 258 272 324 360 374 422	-345890115240
SPT(16)	2601276216195384529	0 22 40 42 112 162 168 204 208 244 250 300 370 372 390 412	274829352140
SPT(16)	2601276877023482509	0 4 24 40 60 70 124 144 154 174 228 238 258 274 294 298	935657450120
SPT(16)	2601277404777410339	0 14 38 44 74 78 120 158 210 248 290 294 324 330 354 368	1463411377950
SPT(16)	2601277452666178777	0 12 46 60 72 102 106 150 226 270 274 304 316 330 364 376	1511300146388
SPT(16)	2601277872255351259	0 18 34 78 88 120 130 144 178 192 202 234 244 288 304 322	1930889318870