Prime p₀= 2684638345855417121 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 58 2 46 2 88 2 112 2 76 2 (?)
a_n: 0 2 18 20 78 80 126 128 216 218 330 332 408 410
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: 410
Found by: RFGuy_KCCO
db: batch=82, k=14, 16 58 46 88 112 76

STPT(10)	2684635792765502669	0 2 30 32 60 62 90 92 120 122	-2553089914452
SPT(16)	2684635828118346917	0 42 44 62 92 110 240 272 282 314 444 462 492 510 512 554	-2517737070204
SPT(16)	2684635991191624117	0 36 40 72 112 130 162 172 180 190 222 240 280 312 316 352	-2354663793004
SPT(16)	2684636248636018759	0 10 24 54 60 84 118 124 174 180 214 238 244 274 288 298	-2097219398362
TPT(14)	2684637208574611139	0 2 42 44 108 110 120 122 168 170 180 182 210 212	-1137280805982
SPT(16)	2684637223061485697	0 26 36 56 80 84 104 186 350 432 452 456 480 500 510 536	-1122793931424
SPT(16)	2684638629795446453	0 20 38 50 78 84 96 134 180 218 230 236 264 276 294 314	283940029332
SPT(16)	2684638972811176427	0 14 30 36 50 74 104 114 146 156 186 210 224 230 246 260	626955759306
SPT(16)	2684639093399664581	0 6 20 48 56 90 96 126 152 182 188 222 230 258 272 278	747544247460
STPT(10)	2684639164907970209	0 2 42 44 60 62 78 80 120 122	819052553088
STPT(10)	2684639570822770607	0 2 54 56 72 74 90 92 144 146	1224967353486