Prime p₀= 952613430256358051 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 94 2 28 2 58 2 22 2 16 2 46 2 (?)
a_n: 0 2 96 98 126 128 186 188 210 212 228 230 276 278
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: 278
Found by: HenkM
db: batch=76, k=14, 94 28 58 22 16 46

TPT(14)	952612416767317049	0 2 72 74 102 104 120 122 162 164 198 200 210 212	-1013489041002
STPT(10)	952612436138406191	0 2 30 32 78 80 126 128 156 158	-994117951860
STPT(10)	952612763728892447	0 2 30 32 42 44 54 56 84 86	-666527465604
TPT(14)	952612859267335949	0 2 42 44 60 62 102 104 132 134 270 272 282 284	-570989022102
STPT(10)	952612989538054511	0 2 6 8 18 20 30 32 36 38	-440718303540
SPT(16)	952613360142624977	0 84 122 140 150 210 222 234 272 284 296 356 366 384 422 506	-70113733074
SPT(16)	952613465694557791	0 10 12 22 60 112 120 148 150 178 186 238 276 286 288 298	35438199740
SPT(16)	952613544519057613	0 34 54 64 70 100 126 168 196 238 264 294 300 310 330 364	114262699562
SPT(16)	952613901397532431	0 18 36 106 120 168 172 198 310 336 340 388 402 472 490 508	471141174380
TPT(16)	952614192776555039	0 2 90 92 132 134 162 164 210 212 258 260 300 302 318 320	762520196988
SPT(16)	952614244299038047	0 12 34 82 90 94 126 184 192 250 282 286 294 342 364 376	814042679996