Prime p₀= 2568719320412816099 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 28 2 16 2 10 2 64 2 (?)
a_n: 0 2 12 14 42 44 72 74 90 92 102 104 168 170
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: 170
Found by: JayPi
db: batch=82, k=14, 10 28 28 16 10 64

SPT(16)	2568717041294051821	0 6 66 90 112 118 210 246 262 298 390 396 418 442 502 508	-2279118764278
SPT(16)	2568717507078821233	0 88 100 136 150 154 156 174 280 298 300 304 318 354 366 454	-1813333994866
STPT(10)	2568717761413453589	0 2 18 20 30 32 42 44 60 62	-1558999362510
STPT(10)	2568717866589782387	0 2 30 32 42 44 54 56 84 86	-1453823033712
SPT(16)	2568718437388472797	0 24 42 52 64 114 120 150 154 184 190 240 252 262 280 304	-883024343302
SPT(16)	2568719171060277967	0 6 54 64 70 132 156 190 216 250 274 336 342 352 400 406	-149352538132
STPT(10)	2568720091687443311	0 2 36 38 78 80 120 122 156 158	771274627212
SPT(16)	2568720184559824579	0 48 78 102 198 250 280 282 298 300 330 382 478 502 532 580	864147008480
SPT(16)	2568720368339634757	0 22 36 40 72 156 190 232 240 282 316 400 432 436 450 472	1047926818658
SPT(16)	2568720503497001747	0 26 60 90 126 180 222 230 342 350 392 446 482 512 546 572	1183084185648
SPT(16)	2568720652279634003	0 6 26 56 84 90 116 144 170 198 224 230 258 288 308 314	1331866817904