Prime p₀= 2181082009641437027 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 46 2 76 2 40 2 46 2 22 2 (?)
a_n: 0 2 54 56 102 104 180 182 222 224 270 272 294 296
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: 296
Found by: Penguin
db: batch=81, k=14, 52 46 76 40 46 22

STPT(10)	2181080764302830021	0 2 30 32 78 80 126 128 156 158	-1245338607006
SPT(16)	2181081106867471297	0 24 76 84 90 114 130 192 244 306 322 346 352 360 412 436	-902773965730
STPT(10)	2181081546137807177	0 2 12 14 72 74 132 134 144 146	-463503629850
STPT(10)	2181081745638400271	0 2 6 8 18 20 30 32 36 38	-264003036756
SPT(18)	2181081816967525453	0 24 36 64 90 94 130 150 204 226 280 300 336 340 366 394 406 430	-192673911574
STPT(10)	2181081952320130787	0 2 54 56 72 74 90 92 144 146	-57321306240
STPT(10)	2181082023524409947	0 2 30 32 42 44 54 56 84 86	13882972920
SPT(16)	2181082114003711889	0 14 54 78 132 144 152 158 204 210 218 230 284 308 348 362	104362274862
STPT(10)	2181082152950654951	0 2 6 8 48 50 90 92 96 98	143309217924
SPT(16)	2181082804695903947	0 26 146 200 210 216 276 284 306 314 374 380 390 444 564 590	795054466920
SPT(16)	2181082816711717621	0 76 96 112 208 250 258 280 288 310 318 360 456 472 492 568	807070280594