Prime p₀= 2501895789685071737 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 100 2 34 2 10 2 40 2 34 2 (?)
a_n: 0 2 42 44 144 146 180 182 192 194 234 236 270 272
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, 40 100 34 10 40 34

SPT(16)	2501893457779129691	0 8 30 36 56 186 236 270 296 330 380 510 530 536 558 566	-2331905942046
SPT(16)	2501893509768588931	0 28 102 106 112 132 168 172 216 220 256 276 282 286 360 388	-2279916482806
SPT(16)	2501894213627922511	0 10 28 46 72 82 100 102 136 138 156 166 192 210 228 238	-1576057149226
SPT(16)	2501894577256025989	0 4 70 90 114 130 148 202 240 294 312 328 352 372 438 442	-1212429045748
STPT(10)	2501894677388776751	0 2 6 8 48 50 90 92 96 98	-1112296294986
STPT(10)	2501894852824295021	0 2 30 32 60 62 90 92 120 122	-936860776716
SPT(16)	2501896117747042483	0 18 48 124 148 154 238 256 288 306 390 396 420 496 526 544	328061970746
STPT(10)	2501896185247484027	0 2 30 32 72 74 114 116 144 146	395562412290
SPT(16)	2501896253886161453	0 90 110 138 156 168 170 188 216 234 236 248 266 294 314 404	464201089716
SPT(16)	2501896339871379043	0 48 84 88 90 118 238 264 334 360 480 508 510 514 550 598	550186307306
SPT(16)	2501896446329097767	0 24 26 32 92 162 176 182 204 210 224 294 354 360 362 386	656644026030