Prime p₀= 760414104197976857 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 40 2 76 2 40 2 34 2 (?)
a_n: 0 2 30 32 72 74 114 116 192 194 234 236 270 272
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: 272
Found by: Theadalus
db: batch=73, k=14, 28 40 40 76 40 34

STPT(10)	760412477483057261	0 2 30 32 78 80 126 128 156 158	-1626714919596
STPT(10)	760412814260176067	0 2 42 44 72 74 102 104 144 146	-1289937800790
STPT(10)	760412888949001787	0 2 30 32 72 74 114 116 144 146	-1215248975070
SPT(16)	760413347508249119	0 98 102 122 138 158 170 188 192 210 222 242 258 278 282 380	-756689727738
SPT(16)	760413708502182443	0 38 48 74 78 90 98 104 120 126 134 146 150 176 186 224	-395695794414
SPT(16)	760413918661402417	0 40 60 70 102 142 180 214 222 256 294 334 366 376 396 436	-185536574440
TPT(14)	760414176613350209	0 2 18 20 42 44 60 62 150 152 168 170 198 200	72415373352
SPT(16)	760414239377001919	0 40 42 78 124 132 150 160 282 292 310 318 364 400 402 442	135179025062
SPT(13)	760414543940722787	0 6 36 132 156 162 186 210 216 240 336 366 372	439742745930
SPT(16)	760414954529281123	0 30 48 70 78 100 118 120 154 156 174 196 204 226 244 274	850331304266
STPT(10)	760414977943896437	0 2 30 32 42 44 54 56 84 86	873745919580