Prime p₀= 2547263523014911157 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 28 2 4 2 22 2 106 2 16 2 (?)
a_n: 0 2 84 86 114 116 120 122 144 146 252 254 270 272
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: [SG-FC] hl
db: batch=82, k=14, 82 28 4 22 106 16

STPT(10)	2547262449887178209	0 2 18 20 30 32 42 44 60 62	-1073127732948
SPT(16)	2547262539853595911	0 18 46 70 78 106 196 208 210 222 312 340 348 372 400 418	-983161315246
SPT(16)	2547262849278940561	0 18 28 72 88 90 118 142 198 222 250 252 268 312 322 340	-673735970596
STPT(10)	2547263121547703561	0 2 36 38 78 80 120 122 156 158	-401467207596
STPT(10)	2547263317050545939	0 2 18 20 30 32 42 44 60 62	-205964365218
SPT(16)	2547263490534639841	0 6 30 40 46 70 72 112 156 196 198 222 228 238 262 268	-32480271316
TPT(14)	2547263759204598449	0 2 30 32 108 110 198 200 240 242 288 290 372 374	236189687292
STPT(10)	2547263765099664887	0 2 90 92 150 152 210 212 300 302	242084753730
TPT(14)	2547264068057747177	0 2 12 14 84 86 102 104 192 194 240 242 270 272	545042836020
STPT(10)	2547264121829267717	0 2 30 32 60 62 90 92 120 122	598814356560
STPT(10)	2547264377289006671	0 2 6 8 18 20 30 32 36 38	854274095514