Prime p₀= 2539643310097335821 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 70 2 4 2 52 2 28 2 34 2 (?)
a_n: 0 2 78 80 150 152 156 158 210 212 240 242 276 278
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: 278
Found by: RFGuy_KCCO
db: batch=82, k=14, 76 70 4 52 28 34

SPT(16)	2539642241368859899	0 54 60 84 90 142 172 180 244 252 282 334 340 364 370 424	-1068728475922
STPT(10)	2539642415980292471	0 2 36 38 78 80 120 122 156 158	-894117043350
STPT(10)	2539642753662613097	0 2 42 44 72 74 102 104 144 146	-556434722724
STPT(10)	2539643105808426977	0 2 60 62 72 74 84 86 144 146	-204288908844
TPT(14)	2539643116063798397	0 2 102 104 120 122 132 134 144 146 162 164 210 212	-194033537424
STPT(10)	2539643116063798499	0 2 18 20 30 32 42 44 60 62	-194033537322
SPT(16)	2539643469659447189	0 2 38 42 80 98 128 212 330 414 444 462 500 504 540 542	159562111368
SPT(16)	2539643715030396263	0 6 14 24 48 80 84 128 186 230 234 266 290 300 308 314	404933060442
STPT(10)	2539643862346267751	0 2 6 8 48 50 90 92 96 98	552248931930
STPT(10)	2539643939391639317	0 2 12 14 42 44 72 74 84 86	629294303496
SPT(16)	2539644291861286657	0 12 46 66 90 102 150 222 334 406 454 466 490 510 544 556	981763950836