Prime p₀= 2336944505700955217 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 100 2 28 2 46 2 16 2 28 2 (?)
a_n: 0 2 42 44 144 146 174 176 222 224 240 242 270 272
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: Landjunge
db: batch=81, k=14, 40 100 28 46 16 28

SPT(16)	2336943388242047621	0 78 98 102 110 156 182 192 296 306 332 378 386 390 410 488	-1117458907596
SPT(16)	2336943644059861147	0 12 64 94 112 154 160 192 292 324 330 372 390 420 472 484	-861641094070
STPT(10)	2336943948388080761	0 2 36 38 78 80 120 122 156 158	-557312874456
SPT(16)	2336943964310690201	0 20 42 80 90 158 210 228 272 290 342 410 420 458 480 500	-541390265016
TPT(14)	2336944045066660331	0 2 168 170 306 308 408 410 498 500 516 518 570 572	-460634294886
SPT(16)	2336944475412824909	0 42 60 62 74 108 114 132 140 158 164 198 210 212 230 272	-30288130308
SPT(16)	2336944655706340019	0 2 54 68 72 98 104 114 158 168 174 200 204 218 270 272	150005384802
STPT(10)	2336944969380030857	0 2 12 14 42 44 72 74 84 86	463679075640
SPT(16)	2336945154263309591	0 36 78 80 86 122 180 210 248 278 336 372 378 380 422 458	648562354374
STPT(10)	2336945942355946037	0 2 30 32 42 44 54 56 84 86	1436654990820
SPT(16)	2336945978045398711	0 10 76 82 118 148 168 238 300 370 390 420 456 462 528 538	1472344443494