Prime p₀= 1524356227696951307 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 40 2 136 2 178 2 88 2 10 2 (?)
a_n: 0 2 42 44 84 86 222 224 402 404 492 494 504 506
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: 506
Found by: Theadalus
db: batch=78, k=14, 40 40 136 178 88 10

SPT(16)	1524354086791828177	0 22 54 72 142 172 216 342 364 490 534 564 634 652 684 706	-2140905123130
STPT(10)	1524354386044864247	0 2 30 32 42 44 54 56 84 86	-1841652087060
SPT(16)	1524355292117781427	0 6 16 36 52 72 106 132 184 210 244 264 280 300 310 316	-935579169880
SPT(16)	1524355313762259389	0 8 38 42 188 222 242 284 378 420 440 474 620 624 654 662	-913934691918
SPT(16)	1524355483908111443	0 18 30 36 44 66 84 86 108 110 128 150 158 164 176 194	-743788839864
SPT(16)	1524355658217678211	0 30 52 78 90 100 102 172 216 286 288 298 310 336 358 388	-569479273096
SPT(16)	1524356295892787389	0 18 30 42 70 172 198 238 282 322 348 450 478 490 502 520	68195836082
SPT(16)	1524356312381071733	0 18 20 110 120 158 230 260 354 384 456 494 504 594 596 614	84684120426
STPT(10)	1524356376776778047	0 2 24 26 42 44 60 62 84 86	149079826740
STPT(10)	1524356847192030737	0 2 30 32 72 74 114 116 144 146	619495079430
STPT(10)	1524356861397950927	0 2 12 14 42 44 72 74 84 86	633700999620