Prime p₀= 2098042630759480541 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 100 2 64 2 40 2 16 2 22 2 (?)
a_n: 0 2 108 110 210 212 276 278 318 320 336 338 360 362
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: 362
Found by: Landjunge
db: batch=80, k=14, 106 100 64 40 16 22

SPT(16)	2098040837773467571	0 12 66 88 96 102 112 136 162 186 196 202 210 232 286 298	-1792986012970
STPT(12)	2098040852930712539	0 2 12 14 42 44 48 50 78 80 90 92	-1777828768002
STPT(10)	2098041298740377831	0 2 36 38 78 80 120 122 156 158	-1332019102710
STPT(10)	2098042183735629401	0 2 6 8 48 50 90 92 96 98	-447023851140
SPT(16)	2098042341596935411	0 10 30 40 42 60 108 138 142 172 220 238 240 250 270 280	-289162545130
SPT(16)	2098042569994653353	0 38 60 80 84 108 110 158 246 294 296 320 324 344 366 404	-60764827188
SPT(16)	2098042694471282381	0 86 96 110 140 188 212 246 272 306 330 378 408 422 432 518	63711801840
SPT(16)	2098042914316998161	0 6 8 60 66 108 120 122 126 128 140 182 188 240 242 248	283557517620
SPT(16)	2098042944809964289	0 82 88 102 118 144 172 174 208 210 238 264 280 294 300 382	314050483748
SPT(16)	2098043131638857993	0 80 98 128 146 150 176 200 384 408 434 438 456 486 504 584	500879377452
SPT(16)	2098043174142787657	0 22 52 106 126 136 190 210 322 342 396 406 426 480 510 532	543383307116