Prime p₀= 2523315678683535959 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 4 2 40 2 46 2 40 2 16 2 (?)
a_n: 0 2 12 14 18 20 60 62 108 110 150 152 168 170
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: 170
Found by: RFGuy_KCCO
db: batch=82, k=14, 10 4 40 46 40 16

SPT(16)	2523313933561083203	0 6 8 66 84 104 146 210 254 318 360 380 398 456 458 464	-1745122452756
TPT(14)	2523313955175683081	0 2 150 152 198 200 306 308 318 320 390 392 396 398	-1723507852878
SPT(16)	2523314220588482857	0 4 6 22 40 64 76 130 156 210 222 246 264 280 282 286	-1458095053102
SPT(16)	2523314581452945901	0 60 78 90 118 132 136 148 150 162 166 180 208 220 238 298	-1097230590058
STPT(10)	2523314940052688609	0 2 42 44 60 62 78 80 120 122	-738630847350
SPT(16)	2523315128476944149	0 12 32 60 168 182 228 248 264 284 330 344 452 480 500 512	-550206591810
STPT(10)	2523316251482306309	0 2 42 44 120 122 198 200 240 242	572798770350
SPT(16)	2523316449407082751	0 16 22 42 78 156 192 232 366 406 442 520 556 576 582 598	770723546792
STPT(10)	2523316605323661137	0 2 42 44 72 74 102 104 144 146	926640125178
TPT(14)	2523316979716837277	0 2 24 26 30 32 54 56 84 86 120 122 150 152	1301033301318
SPT(16)	2523317188158895069	0 28 58 82 90 132 138 148 174 184 190 232 240 264 294 322	1509475359110