Prime p₀= 2727582679862527217 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 10 2 106 2 28 2 10 2 58 2 (?)
a_n: 0 2 12 14 24 26 132 134 162 164 174 176 234 236
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: 236
Found by: JayPi
db: batch=82, k=14, 10 10 106 28 10 58

SPT(16)	2727581326046111779	0 24 34 48 58 70 112 114 178 180 222 234 244 258 268 292	-1353816415438
SPT(16)	2727581456195462561	0 2 18 102 120 140 168 206 252 290 318 338 356 440 456 458	-1223667064656
TPT(14)	2727581649180472361	0 2 96 98 138 140 270 272 336 338 366 368 378 380	-1030682054856
STPT(10)	2727582271228439627	0 2 30 32 72 74 114 116 144 146	-408634087590
SPT(16)	2727582416383750969	0 28 30 42 58 72 120 138 154 172 220 234 250 262 264 292	-263478776248
SPT(16)	2727582603257170609	0 30 34 58 100 132 142 172 210 240 250 282 324 348 352 382	-76605356608
SPT(16)	2727583144195627789	0 58 112 114 120 154 162 172 180 190 198 232 238 240 294 352	464333100572
SPT(16)	2727583299464026889	0 2 84 90 158 174 212 252 260 300 338 354 422 428 510 512	619601499672
SPT(16)	2727583616273456141	0 60 66 80 138 152 158 180 188 210 216 230 288 302 308 368	936410928924
STPT(10)	2727584257642159919	0 2 12 14 90 92 168 170 180 182	1577779632702
SPT(16)	2727584406211923679	0 4 18 84 108 130 142 150 172 180 192 214 238 304 318 322	1726349396462