Prime p₀= 2815476638058441569 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 58 2 166 2 22 2 28 2 64 2 (?)
a_n: 0 2 60 62 120 122 288 290 312 314 342 344 408 410
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: 410
Found by: [SG-FC] hl
db: batch=82, k=14, 58 58 166 22 28 64

TPT(14)	2815475135428082669	0 2 42 44 90 92 192 194 222 224 330 332 390 392	-1502630358900
STPT(10)	2815475541277095209	0 2 42 44 60 62 78 80 120 122	-1096781346360
SPT(16)	2815475607190484599	0 12 22 70 72 78 132 174 238 280 334 340 342 390 400 412	-1030867956970
SPT(16)	2815476034950906893	0 60 66 140 186 200 224 230 294 300 324 338 384 458 464 524	-603107534676
SPT(16)	2815476053361530093	0 20 44 66 96 150 156 164 240 248 254 308 338 360 384 404	-584696911476
SPT(16)	2815476156644640317	0 2 24 26 90 114 174 182 204 212 272 296 360 362 384 386	-481413801252
SPT(16)	2815476672930934021	0 18 60 66 70 88 130 136 252 258 300 318 322 328 370 388	34872492452
STPT(10)	2815476754903545881	0 2 36 38 78 80 120 122 156 158	116845104312
SPT(16)	2815476819373263299	0 44 48 60 90 104 122 128 204 210 228 242 272 284 288 332	181314821730
STPT(10)	2815477373887618397	0 2 24 26 42 44 60 62 84 86	735829176828
SPT(16)	2815477416621700013	0 60 78 86 108 140 150 156 170 176 186 218 240 248 266 326	778563258444