Prime p₀= 2786346377188818539 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 148 2 40 2 28 2 10 2 16 2 (?)
a_n: 0 2 18 20 168 170 210 212 240 242 252 254 270 272
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: 272
Found by: JayPi
db: batch=82, k=14, 16 148 40 28 10 16

SPT(16)	2786345598540559613	0 8 48 68 90 108 110 150 164 204 206 224 246 266 306 314	-778648258926
SPT(16)	2786345932438838603	0 14 36 60 66 116 240 246 248 254 378 428 434 458 480 494	-444749979936
SPT(16)	2786345955324022681	0 16 46 66 102 120 156 210 298 352 388 406 442 462 492 508	-421864795858
STPT(10)	2786346000994587257	0 2 30 32 72 74 114 116 144 146	-376194231282
SPT(16)	2786346195610694659	0 54 60 64 78 138 154 174 244 264 280 340 354 358 364 418	-181578123880
SPT(16)	2786346316006909009	0 22 34 54 78 112 132 204 208 280 300 334 358 378 390 412	-61181909530
STPT(10)	2786346729968121557	0 2 12 14 42 44 72 74 84 86	352779303018
STPT(10)	2786347003110210311	0 2 36 38 78 80 120 122 156 158	625921391772
STPT(10)	2786347028775451247	0 2 12 14 42 44 72 74 84 86	651586632708
SPT(16)	2786347569536904467	0 6 14 30 66 72 122 162 224 264 314 320 356 372 380 386	1192348085928
STPT(10)	2786347657478233097	0 2 12 14 42 44 72 74 84 86	1280289414558