Prime p₀= 745626244591422707 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 130 2 136 2 10 2 10 2 28 2 46 2 (?)
a_n: 0 2 132 134 270 272 282 284 294 296 324 326 372 374
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: 374
Found by: Theadalus
db: batch=73, k=14, 130 136 10 10 28 46

STPT(10)	745624469032743227	0 2 54 56 72 74 90 92 144 146	-1775558679480
SPT(16)	745624530502176341	0 2 56 86 120 126 132 156 176 200 206 212 246 276 330 332	-1714089246366
SPT(16)	745625240809054091	0 2 50 68 96 156 162 206 252 296 302 362 390 408 456 458	-1003782368616
SPT(16)	745625479534465163	0 8 14 36 50 90 144 170 174 200 254 294 308 330 336 344	-765056957544
STPT(10)	745625873843727971	0 2 6 8 48 50 90 92 96 98	-370747694736
SPT(16)	745626044325088859	0 8 44 48 78 108 150 168 170 188 230 260 290 294 330 338	-200266333848
SPT(16)	745626400660447249	0 12 30 34 58 72 84 138 154 208 220 234 258 262 280 292	156069024542
TPT(14)	745626737822941391	0 2 60 62 198 200 300 302 378 380 438 440 510 512	493231518684
STPT(12)	745627158346541309	0 2 18 20 60 62 150 152 192 194 210 212	913755118602
SPT(16)	745627187599661681	0 32 62 72 80 90 98 108 122 132 140 150 158 168 198 230	943008238974
STPT(12)	745627333801470929	0 2 18 20 42 44 48 50 72 74 90 92	1089210048222