Prime p₀= 2495019748738706591 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 28 2 16 2 178 2 40 2 40 2 (?)
a_n: 0 2 48 50 78 80 96 98 276 278 318 320 360 362
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: Hightower
db: batch=82, k=14, 46 28 16 178 40 40

SPT(16)	2495017899682932859	0 30 42 112 124 132 202 210 214 222 292 300 312 382 394 424	-1849055773732
SPT(13)	2495018189424197939	0 24 54 60 84 120 144 168 204 228 234 264 288	-1559314508652
SPT(16)	2495018875280507539	0 10 18 52 168 204 214 220 222 228 238 274 390 424 432 442	-873458199052
SPT(16)	2495019129357281909	0 92 98 104 140 152 198 218 264 284 330 342 378 384 390 482	-619381424682
SPT(16)	2495019606296665849	0 4 10 24 30 58 60 84 88 112 114 142 148 162 168 172	-142442040742
SPT(16)	2495019632254861843	0 18 28 54 88 138 154 180 208 234 250 300 334 360 370 388	-116483844748
SPT(16)	2495019966868629397	0 10 22 136 162 190 196 220 222 246 252 280 306 420 432 442	218129922806
TPT(14)	2495020078472496941	0 2 18 20 156 158 168 170 186 188 198 200 246 248	329733790350
SPT(16)	2495020120311748069	0 28 102 118 124 132 274 288 304 318 460 468 474 490 564 592	371573041478
SPT(16)	2495020729451439349	0 24 34 112 210 234 294 310 354 370 430 454 552 630 640 664	980712732758
SPT(16)	2495021285823192881	0 62 72 80 86 102 128 156 182 210 236 252 258 266 276 338	1537084486290