Prime p₀= 2356561747791079529 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 94 2 40 2 16 2 40 2 (?)
a_n: 0 2 30 32 42 44 138 140 180 182 198 200 240 242
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: 242
Found by: herby44
db: batch=81, k=14, 28 10 94 40 16 40

TPT(14)	2356560719839045901	0 2 60 62 306 308 318 320 366 368 408 410 438 440	-1027952033628
SPT(16)	2356560933959619067	0 16 30 64 72 120 132 156 160 184 196 244 252 286 300 316	-813831460462
TPT(14)	2356561043488287947	0 2 42 44 174 176 180 182 192 194 210 212 234 236	-704302791582
STPT(10)	2356561093330280819	0 2 48 50 90 92 132 134 180 182	-654460798710
SPT(16)	2356561584631479493	0 6 10 46 60 114 168 190 324 346 400 454 468 504 508 514	-163159600036
SPT(16)	2356561602471287779	0 12 40 84 154 208 214 220 222 228 234 288 358 402 430 442	-145319791750
SPT(16)	2356562019213416747	0 24 36 122 132 140 194 266 270 342 396 404 414 500 512 536	271422337218
SPT(16)	2356562172641377979	0 18 32 68 78 80 110 144 158 192 222 224 234 270 284 302	424850298450
SPT(16)	2356562173931716981	0 6 28 60 126 130 132 168 220 256 258 262 328 360 382 388	426140637452
STPT(10)	2356562250739873901	0 2 6 8 48 50 90 92 96 98	502948794372
SPT(16)	2356562354026247467	0 24 34 46 66 70 84 90 106 112 126 130 150 162 172 196	606235167938