Prime p₀= 2707825540291959341 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 10 2 16 2 46 2 28 2 58 2 (?)
a_n: 0 2 48 50 60 62 78 80 126 128 156 158 216 218
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: 218
Found by: JayPi
db: batch=82, k=14, 46 10 16 46 28 58

SPT(16)	2707824151770239401	0 18 22 28 40 42 58 60 100 102 118 120 132 138 142 160	-1388521719940
SPT(13)	2707824517109743319	0 18 54 60 78 120 144 168 210 228 234 270 288	-1023182216022
SPT(16)	2707824689396254661	0 50 60 98 140 168 188 212 246 270 290 318 360 398 408 458	-850895704680
SPT(16)	2707824750611029667	0 14 50 66 74 126 140 144 182 186 200 252 260 276 312 326	-789680929674
TPT(14)	2707824753519517967	0 2 54 56 84 86 150 152 192 194 240 242 264 266	-786772441374
STPT(10)	2707825200387637151	0 2 6 8 48 50 90 92 96 98	-339904322190
STPT(10)	2707827450791322941	0 2 6 8 48 50 90 92 96 98	1910499363600
SPT(16)	2707827699397027709	0 20 60 84 108 120 134 164 204 234 248 260 284 308 348 368	2159105068368
SPT(16)	2707827708721446121	0 16 40 48 76 90 100 132 166 198 208 222 250 258 282 298	2168429486780
SPT(16)	2707827880047008867	0 12 24 44 74 80 92 102 134 144 156 162 192 212 224 236	2339755049526
SPT(16)	2707828466847912631	0 48 72 88 108 130 136 160 318 342 348 370 390 406 430 478	2926555953290