Prime p₀= 2395260270790824509 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 4 2 22 2 4 2 202 2 (?)
a_n: 0 2 18 20 42 44 48 50 72 74 78 80 282 284
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: 284
Found by: Landjunge
db: batch=81, k=14, 16 22 4 22 4 202

SPT(16)	2395257830067351797	0 36 42 72 140 144 170 186 230 246 272 276 344 374 380 416	-2440723472712
STPT(10)	2395258750465784381	0 2 6 8 48 50 90 92 96 98	-1520325040128
STPT(10)	2395258978214710217	0 2 30 32 42 44 54 56 84 86	-1292576114292
SPT(16)	2395259039635388611	0 40 48 58 70 88 100 142 168 210 222 240 252 262 270 310	-1231155435898
SPT(16)	2395260003732882653	0 30 48 96 104 134 156 180 254 278 300 330 338 386 404 434	-267057941856
STPT(12)	2395260140685279779	0 2 18 20 30 32 60 62 72 74 90 92	-130105544730
SPT(16)	2395260814215490721	0 12 30 38 56 78 86 92 126 132 140 162 180 188 206 218	543424666212
STPT(10)	2395260891034874381	0 2 120 122 138 140 156 158 276 278	620244049872
STPT(10)	2395261264430100761	0 2 36 38 78 80 120 122 156 158	993639276252
STPT(10)	2395261800339227819	0 2 18 20 30 32 42 44 60 62	1529548403310
SPT(16)	2395261912511060959	0 34 70 78 112 130 190 202 240 252 312 330 364 372 408 442	1641720236450