Prime p₀= 2856885356496814787 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 28 2 100 2 34 2 52 2 46 2 (?)
a_n: 0 2 42 44 72 74 174 176 210 212 264 266 312 314
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: 314
Found by: JayPi
db: batch=82, k=14, 40 28 100 34 52 46

SPT(16)	2856883593526377553	0 4 6 34 64 76 106 130 210 234 264 276 306 334 336 340	-1762970437234
TPT(14)	2856883892238643901	0 2 30 32 96 98 168 170 258 260 270 272 348 350	-1464258170886
TPT(14)	2856884012903247869	0 2 48 50 168 170 180 182 252 254 318 320 372 374	-1343593566918
SPT(16)	2856884191489468589	0 38 42 72 80 108 144 158 204 218 254 282 290 320 324 362	-1165007346198
SPT(16)	2856884351195062673	0 20 38 90 114 134 140 176 198 234 240 260 284 336 354 374	-1005301752114
STPT(10)	2856884877891779039	0 2 42 44 90 92 138 140 180 182	-478605035748
STPT(10)	2856885762854692139	0 2 18 20 30 32 42 44 60 62	406357877352
SPT(16)	2856885769854134701	0 16 30 40 48 138 148 156 172 180 190 280 288 298 312 328	413357319914
STPT(10)	2856886029295063037	0 2 24 26 42 44 60 62 84 86	672798248250
SPT(16)	2856886200976089577	0 70 72 106 120 162 180 274 312 406 424 466 480 514 516 586	844479274790
SPT(16)	2856886622886554513	0 78 90 120 204 224 264 300 308 344 384 404 488 518 530 608	1266389739726