Prime p₀= 2810497488993317411 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 28 2 58 2 52 2 34 2 40 2 (?)
a_n: 0 2 66 68 96 98 156 158 210 212 246 248 288 290
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: 290
Found by: [SG-FC] hl
db: batch=82, k=14, 64 28 58 52 34 40

SPT(18)	2810496225744677521	0 18 36 46 78 108 130 168 190 216 238 276 298 328 360 370 388 406	-1263248639890
STPT(10)	2810496239582571467	0 2 42 44 72 74 102 104 144 146	-1249410745944
SPT(16)	2810496645826526453	0 18 26 54 80 84 86 114 140 168 170 174 200 228 236 254	-843166790958
STPT(10)	2810496916539368669	0 2 18 20 30 32 42 44 60 62	-572453948742
SPT(16)	2810497396866013501	0 28 30 40 66 82 168 192 196 220 306 322 348 358 360 388	-92127303910
SPT(16)	2810497421982072479	0 44 60 74 98 158 180 224 228 272 294 354 378 392 408 452	-67011244932
SPT(16)	2810497490034700093	0 6 24 34 40 66 136 174 196 234 304 330 336 346 364 370	1041382682
STPT(10)	2810498240165918129	0 2 18 20 60 62 102 104 120 122	751172600718
SPT(16)	2810498522106870961	0 6 88 130 150 210 226 298 450 522 538 598 618 660 742 748	1033113553550
SPT(16)	2810499120253912099	0 4 24 48 60 70 78 82 90 94 102 112 124 148 168 172	1631260594688
STPT(10)	2810500016432491151	0 2 168 170 198 200 228 230 396 398	2527439173740