Prime p₀= 2592625910969562227 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 4 2 40 2 46 2 40 2 46 2 (?)
a_n: 0 2 84 86 90 92 132 134 180 182 222 224 270 272
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: 272
Found by: RFGuy_KCCO
db: batch=82, k=14, 82 4 40 46 40 46

SPT(16)	2592624568980374611	0 18 78 90 106 118 156 160 168 172 210 222 238 250 310 328	-1341989187616
STPT(10)	2592624975812540687	0 2 42 44 72 74 102 104 144 146	-935157021540
SPT(16)	2592625136889900953	0 36 78 110 126 170 180 224 240 284 294 338 354 386 428 464	-774079661274
SPT(16)	2592625270800766283	0 8 36 78 84 120 146 158 246 258 284 320 326 368 396 404	-640168795944
SPT(16)	2592625332784024207	0 10 96 124 126 186 274 304 306 336 424 484 486 514 600 610	-578185538020
SPT(16)	2592625706765923729	0 18 54 124 162 174 208 228 274 294 328 340 378 448 484 502	-204203638498
SPT(16)	2592626241091158227	0 26 36 90 96 120 216 222 224 230 326 350 356 410 420 446	330121596000
SPT(16)	2592626760163938569	0 12 54 80 102 120 122 128 234 240 242 260 282 308 350 362	849194376342
SPT(16)	2592626939056356857	0 2 14 36 42 110 114 120 146 152 156 224 230 252 264 266	1028086794630
SPT(16)	2592627284055946777	0 6 12 72 76 90 112 150 226 264 286 300 304 364 370 376	1373086384550
TPT(14)	2592627748607503181	0 2 66 68 108 110 120 122 126 128 210 212 288 290	1837637940954