Prime p₀= 2549563682214747071 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 76 2 52 2 4 2 10 2 40 2 (?)
a_n: 0 2 18 20 96 98 150 152 156 158 168 170 210 212
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: 212
Found by: [SG-FC] hl
db: batch=82, k=14, 16 76 52 4 10 40

SPT(16)	2549562208119650719	0 34 42 52 58 84 90 94 108 112 118 144 150 160 168 202	-1474095096352
SPT(16)	2549562968955036319	0 48 82 90 102 112 132 168 172 208 228 238 250 258 292 340	-713259710752
SPT(16)	2549563012109957969	0 14 38 42 48 80 104 108 164 168 192 224 230 234 258 272	-670104789102
SPT(16)	2549563281634881961	0 16 28 40 66 70 78 102 106 130 138 142 168 180 192 208	-400579865110
STPT(10)	2549563397944259297	0 2 12 14 42 44 72 74 84 86	-284270487774
SPT(16)	2549563634219886131	0 60 66 78 86 102 126 128 240 242 266 282 290 302 308 368	-47994860940
SPT(13)	2549563707542497753	0 30 48 78 90 150 204 258 318 330 360 378 408	25327750682
STPT(10)	2549563948347567029	0 2 48 50 90 92 132 134 180 182	266132819958
STPT(10)	2549563958472108827	0 2 30 32 42 44 54 56 84 86	276257361756
STPT(12)	2549564747688548477	0 2 42 44 114 116 180 182 252 254 294 296	1065473801406
SPT(16)	2549565519940937551	0 18 30 42 78 132 162 198 202 238 268 322 358 370 382 400	1837726190480