Prime p₀= 2566848196878926339 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 34 2 70 2 40 2 4 2 10 2 (?)
a_n: 0 2 42 44 78 80 150 152 192 194 198 200 210 212
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: 212
Found by: JayPi
db: batch=82, k=14, 40 34 70 40 4 10

SPT(16)	2566846130197882789	0 22 48 58 60 72 114 204 208 298 340 352 354 364 390 412	-2066681043550
STPT(10)	2566846165308731729	0 2 12 14 150 152 288 290 300 302	-2031570194610
SPT(16)	2566846348074201857	0 14 24 26 32 54 80 96 110 126 152 174 180 182 192 206	-1848804724482
STPT(10)	2566846567387405757	0 2 24 26 42 44 60 62 84 86	-1629491520582
SPT(16)	2566847865598552219	0 22 28 48 52 102 150 160 180 190 238 288 292 312 318 340	-331280374120
SPT(16)	2566848154170354631	0 22 30 40 42 100 120 126 136 142 162 220 222 232 240 262	-42708571708
STPT(10)	2566848596551809509	0 2 30 32 60 62 90 92 120 122	399672883170
SPT(16)	2566848826660800947	0 24 42 72 104 114 146 180 266 300 332 342 374 404 422 446	629781874608
SPT(16)	2566848980225442767	0 32 44 60 96 116 126 204 242 320 330 350 386 402 414 446	783346516428
TPT(16)	2566849088054588189	0 2 228 230 270 272 312 314 378 380 438 440 480 482 612 614	891175661850
STPT(10)	2566849309824646631	0 2 36 38 78 80 120 122 156 158	1112945720292