Prime p₀= 2126707320097341689 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 160 2 76 2 76 2 52 2 196 2 10 2 (?)
a_n: 0 2 162 164 240 242 318 320 372 374 570 572 582 584
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: 584
Found by: Landjunge
db: batch=80, k=14, 160 76 76 52 196 10

STPT(10)	2126706049095678101	0 2 6 8 18 20 30 32 36 38	-1271001663588
SPT(16)	2126706145561803037	0 22 60 70 82 100 102 112 114 124 126 144 156 166 204 226	-1174535538652
SPT(16)	2126706603806080129	0 18 78 100 114 130 148 184 198 234 252 268 282 304 364 382	-716291261560
SPT(16)	2126706981377075639	0 14 72 90 104 114 138 194 198 254 278 288 302 320 378 392	-338720266050
STPT(10)	2126707115801537837	0 2 12 14 42 44 72 74 84 86	-204295803852
STPT(10)	2126707209978391067	0 2 24 26 42 44 60 62 84 86	-110118950622
SPT(16)	2126707387339902517	0 12 24 64 150 166 196 232 264 300 330 346 432 472 484 496	67242560828
SPT(16)	2126707426355587267	0 30 36 70 76 124 150 154 162 166 192 240 246 280 286 316	106258245578
SPT(16)	2126707684019379751	0 30 72 112 138 156 168 208 210 250 262 280 306 346 388 418	363922038062
STPT(10)	2126709817526632277	0 2 30 32 60 62 90 92 120 122	2497429290588
SPT(16)	2126710011895494329	0 72 98 108 110 120 132 210 302 380 392 402 404 414 440 512	2691798152640