Prime p₀= 2511545964233053019 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 76 2 52 2 58 2 58 2 46 2 (?)
a_n: 0 2 60 62 138 140 192 194 252 254 312 314 360 362
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: 362
Found by: JayPi
db: batch=82, k=14, 58 76 52 58 58 46

SPT(16)	2511544111666703857	0 6 16 72 150 160 184 196 240 252 276 286 364 420 430 436	-1852566349162
STPT(10)	2511544382472647549	0 2 18 20 30 32 42 44 60 62	-1581760405470
SPT(16)	2511544556338343821	0 12 18 42 60 106 120 126 142 148 162 208 226 250 256 268	-1407894709198
SPT(16)	2511545079067173727	0 70 76 102 106 114 130 142 144 156 172 180 184 210 216 286	-885165879292
STPT(10)	2511545255685771587	0 2 42 44 72 74 102 104 144 146	-708547281432
SPT(16)	2511545930463477437	0 32 90 134 140 162 206 234 242 270 314 336 342 386 444 476	-33769575582
SPT(16)	2511546238118372551	0 6 22 42 70 78 82 208 330 456 460 468 496 516 532 538	273885319532
SPT(16)	2511546271722182881	0 6 18 60 70 88 148 156 172 180 240 258 268 310 322 328	307489129862
SPT(16)	2511546317334830647	0 46 54 76 114 132 160 166 300 306 334 352 390 412 420 466	353101777628
SPT(16)	2511546978785137673	0 6 8 24 30 48 98 120 134 156 206 224 230 246 248 254	1014552084654
SPT(16)	2511547064104135559	0 38 62 120 134 138 144 182 270 308 314 318 332 390 414 452	1099871082540