Prime p₀= 2867039865832741271 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 364 2 40 2 10 2 118 2 34 2 40 2 (?)
a_n: 0 2 366 368 408 410 420 422 540 542 576 578 618 620
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: 620
Found by: JayPi
db: batch=82, k=14, 364 40 10 118 34 40

SPT(16)	2867037992570074513	0 24 54 58 60 64 66 126 208 268 270 274 276 280 310 334	-1873262666758
SPT(16)	2867038144086765151	0 12 16 18 70 112 198 202 306 310 396 438 490 492 496 508	-1721745976120
STPT(10)	2867038382809545587	0 2 30 32 42 44 54 56 84 86	-1483023195684
SPT(16)	2867039119326738091	0 36 42 88 102 130 138 150 208 220 228 256 270 316 322 358	-746506003180
STPT(10)	2867039234617344947	0 2 30 32 42 44 54 56 84 86	-631215396324
TPT(14)	2867039797406984501	0 2 66 68 78 80 96 98 120 122 156 158 168 170	-68425756770
SPT(16)	2867040300659946031	0 52 60 66 90 102 118 130 168 180 196 208 232 238 246 298	434827204760
SPT(16)	2867041040706962699	0 30 60 62 68 132 138 144 308 314 320 384 390 392 422 452	1174874221428
SPT(16)	2867041146681519671	0 68 78 80 90 138 152 182 216 246 260 308 318 320 330 398	1280848778400
SPT(16)	2867041216684103399	0 24 42 54 122 140 152 182 300 330 342 360 428 440 458 482	1350851362128
SPT(16)	2867041477249071389	0 38 42 72 80 168 180 182 210 212 224 312 320 350 354 392	1611416330118