Prime p₀= 1242705625665445301 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 22 2 4 2 28 2 190 2 58 2 (?)
a_n: 0 2 66 68 90 92 96 98 126 128 318 320 378 380
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: Cruncher Pete
db: batch=77, k=14, 64 22 4 28 190 58

STPT(10)	1242704915808788657	0 2 30 32 42 44 54 56 84 86	-709856656644
TPT(14)	1242704921017098059	0 2 78 80 132 134 180 182 318 320 372 374 378 380	-704648347242
SPT(16)	1242705150226409671	0 22 36 46 60 106 120 138 190 208 222 268 282 292 306 328	-475439035630
STPT(10)	1242705335630775617	0 2 42 44 72 74 102 104 144 146	-290034669684
SPT(16)	1242705553040396089	0 12 24 30 40 54 108 112 150 154 208 222 232 238 250 262	-72625049212
STPT(10)	1242705597529943621	0 2 6 8 48 50 90 92 96 98	-28135501680
SPT(16)	1242705672878965039	0 10 52 70 112 120 160 180 220 240 280 288 330 348 390 400	47213519738
STPT(12)	1242705699086112557	0 2 30 32 72 74 90 92 132 134 162 164	73420667256
SPT(16)	1242705803652166661	0 38 42 56 86 120 168 192 236 260 308 342 372 386 390 428	177986721360
STPT(10)	1242705859091757017	0 2 12 14 42 44 72 74 84 86	233426311716
SPT(20)	1242705921319272133	0 10 16 40 84 100 118 166 190 210 274 294 318 366 384 400 444 468 474 484	295653826832