Prime p₀= 2701029999720274499 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 76 2 82 2 76 2 130 2 16 2 (?)
a_n: 0 2 60 62 138 140 222 224 300 302 432 434 450 452
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: 452
Found by: biodoc
db: batch=82, k=14, 58 76 82 76 130 16

STPT(10)	2701029393962580101	0 2 36 38 78 80 120 122 156 158	-605757694398
SPT(16)	2701029407686683419	0 38 48 78 140 192 260 300 350 390 458 510 572 602 612 650	-592033591080
SPT(16)	2701029661488753703	0 36 40 160 168 196 210 246 250 286 300 328 336 456 460 496	-338231520796
STPT(12)	2701029669141658241	0 2 78 80 90 92 156 158 168 170 246 248	-330578616258
TPT(14)	2701029764795331017	0 2 12 14 72 74 102 104 240 242 270 272 402 404	-234924943482
STPT(10)	2701029776934604931	0 2 6 8 48 50 90 92 96 98	-222785669568
STPT(10)	2701030216476362591	0 2 6 8 18 20 30 32 36 38	216756088092
SPT(16)	2701030632978389203	0 4 6 18 48 90 100 118 126 144 154 196 226 238 240 244	633258114704
STPT(10)	2701030794517787957	0 2 30 32 42 44 54 56 84 86	794797513458
SPT(16)	2701030815570953197	0 34 90 100 106 154 160 166 324 330 336 384 390 400 456 490	815850678698
STPT(10)	2701031042948696987	0 2 12 14 42 44 72 74 84 86	1043228422488