Prime p₀= 2710863758464857647 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 28 2 4 2 28 2 58 2 28 2 (?)
a_n: 0 2 84 86 114 116 120 122 150 152 210 212 240 242
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: 242
Found by: fzs600
db: batch=82, k=14, 82 28 4 28 58 28

TPT(14)	2710861907268407069	0 2 90 92 102 104 210 212 258 260 300 302 312 314	-1851196450578
SPT(16)	2710862398069236349	0 42 52 64 82 154 210 234 250 274 330 402 420 432 442 484	-1360395621298
SPT(16)	2710862411221194379	0 22 48 90 130 168 174 198 244 268 274 312 352 394 420 442	-1347243663268
SPT(16)	2710862535611946637	0 6 36 64 96 102 106 126 130 150 154 160 192 220 250 256	-1222852911010
STPT(10)	2710862849246923079	0 2 18 20 60 62 102 104 120 122	-909217934568
SPT(16)	2710863019872504011	0 8 20 30 60 72 78 98 120 140 146 158 188 198 210 218	-738592353636
SPT(16)	2710864308973838539	0 12 60 70 90 114 124 168 244 288 298 322 342 352 400 412	550508980892
STPT(10)	2710864536824246639	0 2 12 14 90 92 168 170 180 182	778359388992
STPT(10)	2710865029349607041	0 2 6 8 18 20 30 32 36 38	1270884749394
SPT(16)	2710866266204576867	0 2 14 32 66 114 144 150 176 182 212 260 294 312 324 326	2507739719220
STPT(10)	2710867836280873847	0 2 30 32 42 44 54 56 84 86	4077816016200