Prime p₀= 2712284878513742471 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 154 2 10 2 28 2 40 2 58 2 106 2 (?)
a_n: 0 2 156 158 168 170 198 200 240 242 300 302 408 410
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: 410
Found by: JayPi
db: batch=82, k=14, 154 10 28 40 58 106

SPT(16)	2712283825389155657	0 2 54 120 132 162 164 170 216 222 224 254 266 332 384 386	-1053124586814
STPT(10)	2712284038162632287	0 2 54 56 72 74 90 92 144 146	-840351110184
STPT(10)	2712284190796453121	0 2 36 38 78 80 120 122 156 158	-687717289350
STPT(10)	2712284358814593707	0 2 60 62 72 74 84 86 144 146	-519699148764
SPT(16)	2712284566273571671	0 16 72 76 106 126 132 202 210 280 286 306 336 340 396 412	-312240170800
SPT(13)	2712284614689307709	0 42 72 84 90 150 162 174 234 240 252 282 324	-263824434762
STPT(10)	2712285022503194777	0 2 60 62 72 74 84 86 144 146	143989452306
SPT(16)	2712285097485274147	0 36 42 100 102 106 166 172 264 270 330 334 336 394 400 436	218971531676
SPT(16)	2712285207857647391	0 56 72 110 132 158 170 180 188 198 210 236 258 296 312 368	329343904920
TPT(14)	2712285352232638289	0 2 48 50 120 122 132 134 198 200 240 242 258 260	473718895818
SPT(16)	2712285373462580387	0 20 42 90 134 162 170 174 422 426 434 462 506 554 576 596	494948837916