Prime p₀= 2779911908381984921 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 28 2 46 2 52 2 28 2 46 2 (?)
a_n: 0 2 108 110 138 140 186 188 240 242 270 272 318 320
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: 320
Found by: JayPi
db: batch=82, k=14, 106 28 46 52 28 46

SPT(16)	2779910572676071531	0 46 78 88 100 168 186 228 250 292 310 378 390 400 432 478	-1335705913390
SPT(16)	2779910755964582291	0 2 20 32 62 72 98 128 132 162 188 198 228 240 258 260	-1152417402630
SPT(16)	2779911251734406827	0 42 72 126 142 162 204 246 280 322 364 384 400 454 484 526	-656647578094
SPT(16)	2779911614631403607	0 104 134 164 200 312 314 342 362 390 392 504 540 570 600 704	-293750581314
SPT(16)	2779911711559685653	0 4 10 48 88 100 118 130 264 276 294 306 346 384 390 394	-196822299268
SPT(16)	2779911904785348121	0 22 46 60 130 132 166 172 246 252 286 288 358 372 396 418	-3596636800
SPT(18)	2779912234581392881	0 48 106 120 126 148 166 246 258 280 292 372 390 412 418 432 490 538	326199407960
SPT(16)	2779912559305083217	0 10 22 42 46 96 114 136 240 262 280 330 334 354 366 376	650923098296
SPT(16)	2779912822915036909	0 22 58 60 64 78 90 100 162 172 184 198 202 204 240 262	914533051988
STPT(10)	2779912882681380869	0 2 90 92 150 152 210 212 300 302	974299395948
STPT(10)	2779913135584817117	0 2 30 32 42 44 54 56 84 86	1227202832196