Prime p₀= 2504174707752295421 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 16 2 106 2 28 2 10 2 58 2 (?)
a_n: 0 2 30 32 48 50 156 158 186 188 198 200 258 260
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: 260
Found by: JayPi
db: batch=82, k=14, 28 16 106 28 10 58

SPT(16)	2504173530560047919	0 18 24 42 48 110 122 180 242 300 312 374 380 398 404 422	-1177192247502
SPT(16)	2504173730704076047	0 30 40 166 172 210 214 270 316 372 376 414 420 546 556 586	-977048219374
SPT(16)	2504174360693944979	0 18 20 32 98 174 210 218 234 242 278 354 420 432 434 452	-347058350442
SPT(16)	2504174404343495161	0 36 48 120 150 166 178 222 286 330 342 358 388 460 472 508	-303408800260
SPT(16)	2504174484451633177	0 10 22 66 106 112 120 126 136 142 150 156 196 240 252 262	-223300662244
STPT(10)	2504174631410332577	0 2 30 32 72 74 114 116 144 146	-76341962844
SPT(16)	2504175080982510253	0 30 40 58 70 96 120 148 156 184 208 234 246 264 274 304	373230214832
SPT(16)	2504176658299337969	0 30 68 72 120 128 134 188 204 258 264 272 320 324 362 392	1950547042548
SPT(16)	2504178105646239331	0 36 66 70 72 78 130 136 162 168 220 226 228 232 262 298	3397893943910
STPT(10)	2504178175580140427	0 2 30 32 42 44 54 56 84 86	3467827845006
TPT(14)	2504178362984019341	0 2 6 8 90 92 168 170 180 182 228 230 240 242	3655231723920