Prime p₀= 1270374779088148619 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 4 2 52 2 136 2 10 2 28 2 (?)
a_n: 0 2 12 14 18 20 72 74 210 212 222 224 252 254
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: 254
Found by: Megacruncher
db: batch=77, k=14, 10 4 52 136 10 28

STPT(10)	1270373301268996619	0 2 30 32 60 62 90 92 120 122	-1477819152000
STPT(10)	1270373423180815097	0 2 42 44 72 74 102 104 144 146	-1355907333522
SPT(16)	1270373675138523569	0 48 54 60 168 174 210 224 264 278 314 320 428 434 440 488	-1103949625050
SPT(16)	1270373883785760563	0 14 54 60 78 90 140 144 260 264 314 326 344 350 390 404	-895302388056
STPT(10)	1270373951940950069	0 2 12 14 90 92 168 170 180 182	-827147198550
STPT(10)	1270374354011277797	0 2 42 44 72 74 102 104 144 146	-425076870822
SPT(16)	1270375297112308447	0 12 30 64 82 112 166 190 216 240 294 324 342 376 394 406	518024159828
SPT(16)	1270375321078045639	0 42 64 88 90 160 184 228 244 288 312 382 384 408 430 472	541989897020
STPT(12)	1270375504086868349	0 2 18 20 42 44 78 80 102 104 120 122	724998719730
STPT(10)	1270375505992371011	0 2 36 38 78 80 120 122 156 158	726904222392
SPT(16)	1270376090965107913	0 30 64 70 94 108 114 120 154 160 166 180 204 210 244 274	1311876959294