Prime p₀= 2478478063839053459 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 34 2 40 2 28 2 58 2 40 2 (?)
a_n: 0 2 42 44 78 80 120 122 150 152 210 212 252 254
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: Penguin
db: batch=82, k=14, 40 34 40 28 58 40

STPT(10)	2478476230847609297	0 2 30 32 42 44 54 56 84 86	-1832991444162
SPT(16)	2478476249573777989	0 28 78 120 148 154 184 204 208 228 258 264 292 334 384 412	-1814265275470
SPT(16)	2478476823456538103	0 14 36 38 104 134 138 146 168 176 180 210 276 278 300 314	-1240382515356
SPT(16)	2478477306386465627	0 42 50 60 116 122 146 150 176 180 204 210 266 276 284 326	-757452587832
STPT(10)	2478477896669222351	0 2 36 38 78 80 120 122 156 158	-167169831108
STPT(10)	2478478005406386629	0 2 48 50 60 62 72 74 120 122	-58432666830
SPT(16)	2478478099134233887	0 12 22 66 70 160 274 294 382 402 516 606 610 654 664 676	35295180428
SPT(20)	2478478161933442609	0 10 24 48 94 142 150 154 168 210 232 274 288 292 300 348 394 418 432 442	98094389150
SPT(16)	2478478578407855753	0 56 60 114 116 140 144 176 318 350 354 378 380 434 438 494	514568802294
SPT(16)	2478478747529380459	0 10 22 42 58 64 90 94 138 142 168 174 190 210 222 232	683690327000
SPT(16)	2478479142328432601	0 12 68 80 92 98 102 186 242 326 330 336 348 360 416 428	1078489379142