Prime p₀= 2127562848706514969 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 196 2 22 2 94 2 82 2 88 2 64 2 (?)
a_n: 0 2 198 200 222 224 318 320 402 404 492 494 558 560
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: 560
Found by: Donn Pike (USAF Ret)
db: batch=80, k=14, 196 22 94 82 88 64

SPT(16)	2127561387200411237	0 14 32 60 74 104 132 182 192 242 270 300 314 342 360 374	-1461506103732
STPT(10)	2127561563006203139	0 2 12 14 30 32 48 50 60 62	-1285700311830
SPT(16)	2127561622193647537	0 34 42 72 132 216 226 262 294 330 340 424 484 514 522 556	-1226512867432
SPT(16)	2127562702318961189	0 2 20 74 98 104 128 140 162 174 198 204 228 282 300 302	-146387553780
STPT(10)	2127562770611008139	0 2 48 50 90 92 132 134 180 182	-78095506830
SPT(16)	2127562795764379619	0 2 24 74 78 122 128 150 182 204 210 254 258 308 330 332	-52942135350
STPT(10)	2127563206668521507	0 2 30 32 42 44 54 56 84 86	357962006538
STPT(10)	2127563343141276809	0 2 18 20 30 32 42 44 60 62	494434761840
SPT(16)	2127563523271525159	0 18 42 100 118 130 168 172 300 304 342 354 372 430 454 472	674565010190
STPT(10)	2127563799795534869	0 2 18 20 30 32 42 44 60 62	951089019900
SPT(16)	2127564088310685721	0 6 30 60 72 82 142 162 166 186 246 256 268 298 322 328	1239604170752