Prime p₀= 2796929479702941809 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 40 2 196 2 22 2 28 2 34 2 (?)
a_n: 0 2 48 50 90 92 288 290 312 314 342 344 378 380
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: 380
Found by: UBT - Timbo
db: batch=82, k=14, 46 40 196 22 28 34

STPT(10)	2796927925106008787	0 2 30 32 60 62 90 92 120 122	-1554596933022
SPT(16)	2796927950761930231	0 12 46 88 126 138 148 166 252 270 280 292 330 372 406 418	-1528941011578
SPT(16)	2796928510671839501	0 38 62 68 90 96 102 122 216 236 242 248 270 276 300 338	-969031102308
SPT(16)	2796928910220320627	0 66 92 114 122 152 162 192 224 254 264 294 302 324 350 416	-569482621182
SPT(16)	2796929047248720311	0 6 30 50 72 78 98 146 162 210 230 236 258 278 302 308	-432454221498
SPT(16)	2796929339217771287	0 6 14 36 66 92 110 122 204 216 234 260 290 312 320 326	-140485170522
SPT(16)	2796929986807808399	0 42 44 60 192 230 248 270 272 294 312 350 482 498 500 542	507104866590
STPT(10)	2796930057965052377	0 2 30 32 42 44 54 56 84 86	578262110568
STPT(10)	2796930227320613861	0 2 78 80 138 140 198 200 276 278	747617672052
SPT(16)	2796930244290429341	0 26 50 66 80 86 92 120 128 156 162 168 182 198 222 248	764587487532
SPT(16)	2796930372390000851	0 56 102 146 162 182 186 210 272 296 300 320 336 380 426 482	892687059042