Prime p₀= 2406901099481441789 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 40 2 166 2 40 2 46 2 40 2 (?)
a_n: 0 2 78 80 120 122 288 290 330 332 378 380 420 422
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: 422
Found by: JayPi
db: batch=82, k=14, 76 40 166 40 46 40

SPT(16)	2406900158644609057	0 70 96 106 132 204 300 334 492 526 622 694 720 730 756 826	-940836832732
TPT(14)	2406900463980812201	0 2 48 50 78 80 108 110 138 140 150 152 210 212	-635500629588
STPT(10)	2406900490817883857	0 2 30 32 42 44 54 56 84 86	-608663557932
TPT(14)	2406900490817883857	0 2 30 32 42 44 54 56 84 86 144 146 240 242	-608663557932
TPT(14)	2406900828732668579	0 2 150 152 192 194 210 212 342 344 348 350 372 374	-270748773210
SPT(16)	2406900850190463751	0 36 42 48 78 120 232 258 280 306 418 460 490 496 502 538	-249290978038
SPT(16)	2406901254752370433	0 16 24 36 70 78 154 156 178 180 256 264 298 310 318 334	155270928644
SPT(16)	2406901595512739293	0 66 106 124 154 190 196 216 238 258 264 300 330 348 388 454	496031297504
STPT(10)	2406901887554892989	0 2 18 20 30 32 42 44 60 62	788073451200
TPT(14)	2406901896620039309	0 2 12 14 78 80 108 110 150 152 162 164 168 170	797138597520
SPT(16)	2406902401792867339	0 40 54 58 64 78 88 100 168 180 190 204 210 214 228 268	1302311425550