Prime p₀= 1572777566653840271 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 166 2 76 2 118 2 40 2 (?)
a_n: 0 2 30 32 60 62 228 230 306 308 426 428 468 470
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: 470
Found by: biodoc
db: batch=78, k=14, 28 28 166 76 118 40

SPT(16)	1572776871940988807	0 20 32 44 104 122 150 174 242 266 294 312 372 384 396 416	-694712851464
STPT(10)	1572776876421022187	0 2 24 26 42 44 60 62 84 86	-690232818084
SPT(16)	1572776914848392879	0 38 42 72 84 120 150 164 168 182 212 248 260 290 294 332	-651805447392
SPT(16)	1572777170267515339	0 4 18 54 70 102 124 142 150 168 190 222 238 274 288 292	-396386324932
SPT(16)	1572777269601200633	0 50 54 110 116 164 200 248 306 354 390 438 444 500 504 554	-297052639638
SPT(16)	1572777501093674569	0 22 30 100 108 162 168 210 250 292 298 352 360 430 438 460	-65560165702
STPT(10)	1572777692535030251	0 2 6 8 48 50 90 92 96 98	125881189980
STPT(10)	1572777775419165587	0 2 24 26 42 44 60 62 84 86	208765325316
TPT(14)	1572777884356742729	0 2 12 14 42 44 72 74 108 110 162 164 210 212	317702902458
TPT(14)	1572778533645100811	0 2 30 32 66 68 78 80 168 170 318 320 456 458	966991260540
SPT(16)	1572778924338884159	0 8 74 104 144 200 228 258 284 314 342 398 438 468 534 542	1357685043888