Prime p₀= 2579827220606711807 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 10 2 34 2 82 2 46 2 46 2 (?)
a_n: 0 2 42 44 54 56 90 92 174 176 222 224 270 272
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: 272
Found by: JayPi
db: batch=82, k=14, 40 10 34 82 46 46

TPT(14)	2579825096011696151	0 2 66 68 78 80 90 92 108 110 210 212 246 248	-2124595015656
SPT(16)	2579825300253544121	0 36 56 102 116 140 146 150 308 312 318 342 356 402 422 458	-1920353167686
STPT(10)	2579825822063411237	0 2 30 32 42 44 54 56 84 86	-1398543300570
TPT(14)	2579826405160594319	0 2 30 32 78 80 90 92 168 170 228 230 240 242	-815446117488
SPT(16)	2579826712001552861	0 42 102 228 236 240 246 266 282 302 308 312 320 446 506 548	-508605158946
SPT(16)	2579826771678307357	0 16 52 126 216 220 240 252 274 286 306 310 400 474 510 526	-448928404450
SPT(16)	2579827246088781211	0 40 42 46 52 70 106 162 196 252 288 306 312 316 318 358	25482069404
SPT(16)	2579827282096285439	0 14 18 50 54 78 128 152 210 234 284 308 312 344 348 362	61489573632
STPT(10)	2579827286457329717	0 2 12 14 72 74 132 134 144 146	65850617910
STPT(10)	2579827435431952829	0 2 12 14 30 32 48 50 60 62	214825241022
STPT(10)	2579827475105128667	0 2 12 14 42 44 72 74 84 86	254498416860