Prime p₀= 2516252981781654611 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 88 2 4 2 112 2 136 2 10 2 (?)
a_n: 0 2 60 62 150 152 156 158 270 272 408 410 420 422
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: [SG-FC] hl
db: batch=82, k=14, 58 88 4 112 136 10

STPT(10)	2516251693918825727	0 2 12 14 72 74 132 134 144 146	-1287862828884
SPT(16)	2516251850000043277	0 12 16 70 94 132 150 156 160 166 184 222 246 300 304 316	-1131781611334
SPT(16)	2516252121175073353	0 36 48 70 76 78 120 130 144 154 196 198 204 226 238 274	-860606581258
SPT(16)	2516252128363314331	0 22 46 78 82 102 132 160 168 196 226 246 250 282 306 328	-853418340280
SPT(16)	2516252260651604861	0 68 80 92 140 150 158 210 260 312 320 330 378 390 402 470	-721130049750
SPT(16)	2516252727543656579	0 2 38 48 60 80 98 140 192 234 252 272 284 294 330 332	-254237998032
STPT(10)	2516253064402199987	0 2 12 14 72 74 132 134 144 146	82620545376
STPT(10)	2516253174299735639	0 2 18 20 30 32 42 44 60 62	192518081028
STPT(10)	2516253915743797709	0 2 18 20 30 32 42 44 60 62	933962143098
STPT(10)	2516253941615462297	0 2 12 14 42 44 72 74 84 86	959833807686
SPT(16)	2516254437715287517	0 36 96 106 112 124 132 184 222 274 282 294 300 310 370 406	1455933632906