Prime p₀= 2579826405160594319 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 46 2 10 2 76 2 58 2 10 2 (?)
a_n: 0 2 30 32 78 80 90 92 168 170 228 230 240 242
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: 242
Found by: JayPi
db: batch=82, k=14, 28 46 10 76 58 10

STPT(10)	2579824029060510599	0 2 12 14 90 92 168 170 180 182	-2376100083720
TPT(16)	2579824521930121001	0 2 30 32 156 158 198 200 240 242 396 398 510 512 516 518	-1883230473318
STPT(10)	2579825038384875947	0 2 30 32 42 44 54 56 84 86	-1366775718372
TPT(14)	2579825096011696151	0 2 66 68 78 80 90 92 108 110 210 212 246 248	-1309148898168
SPT(16)	2579825300253544121	0 36 56 102 116 140 146 150 308 312 318 342 356 402 422 458	-1104907050198
STPT(10)	2579825822063411237	0 2 30 32 42 44 54 56 84 86	-583097183082
SPT(16)	2579826712001552861	0 42 102 228 236 240 246 266 282 302 308 312 320 446 506 548	306840958542
SPT(16)	2579826771678307357	0 16 52 126 216 220 240 252 274 286 306 310 400 474 510 526	366517713038
TPT(14)	2579827220606711807	0 2 42 44 54 56 90 92 174 176 222 224 270 272	815446117488
SPT(16)	2579827246088781211	0 40 42 46 52 70 106 162 196 252 288 306 312 316 318 358	840928186892
SPT(16)	2579827282096285439	0 14 18 50 54 78 128 152 210 234 284 308 312 344 348 362	876935691120