Prime p₀= 2712285352232638289 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 70 2 10 2 64 2 40 2 16 2 (?)
a_n: 0 2 48 50 120 122 132 134 198 200 240 242 258 260
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: 260
Found by: JayPi
db: batch=82, k=14, 46 70 10 64 40 16

SPT(16)	2712284566273571671	0 16 72 76 106 126 132 202 210 280 286 306 336 340 396 412	-785959066618
SPT(13)	2712284614689307709	0 42 72 84 90 150 162 174 234 240 252 282 324	-737543330580
TPT(14)	2712284878513742471	0 2 156 158 168 170 198 200 240 242 300 302 408 410	-473718895818
STPT(10)	2712285022503194777	0 2 60 62 72 74 84 86 144 146	-329729443512
SPT(16)	2712285097485274147	0 36 42 100 102 106 166 172 264 270 330 334 336 394 400 436	-254747364142
SPT(16)	2712285207857647391	0 56 72 110 132 158 170 180 188 198 210 236 258 296 312 368	-144374990898
SPT(16)	2712285373462580387	0 20 42 90 134 162 170 174 422 426 434 462 506 554 576 596	21229942098
STPT(10)	2712285496050651341	0 2 6 8 18 20 30 32 36 38	143818013052
STPT(10)	2712285578173885421	0 2 36 38 78 80 120 122 156 158	225941247132
STPT(10)	2712286413460856117	0 2 12 14 42 44 72 74 84 86	1061228217828
STPT(10)	2712287007717469487	0 2 30 32 42 44 54 56 84 86	1655484831198