Prime p₀= 2579568899314170809 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 10 2 16 2 22 2 4 2 70 2 (?)
a_n: 0 2 78 80 90 92 108 110 132 134 138 140 210 212
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: 212
Found by: RFGuy_KCCO
db: batch=82, k=14, 76 10 16 22 4 70

STPT(10)	2579568296225055431	0 2 6 8 18 20 30 32 36 38	-603089115378
SPT(16)	2579568338442884213	0 14 60 66 90 120 168 174 320 326 374 404 428 434 480 494	-560871286596
TPT(14)	2579568588152429297	0 2 72 74 90 92 180 182 222 224 264 266 312 314	-311161741512
SPT(16)	2579568620081795327	0 12 30 42 56 66 90 102 110 122 146 156 170 182 200 212	-279232375482
SPT(16)	2579568652927174199	0 32 42 62 92 158 198 212 258 272 312 378 408 428 438 470	-246386996610
SPT(16)	2579568888945520193	0 18 30 98 120 168 194 200 204 210 236 284 306 374 386 404	-10368650616
SPT(16)	2579568939145105249	0 24 30 82 124 172 174 184 210 220 222 270 312 364 370 394	39830934440
TPT(14)	2579568977157776621	0 2 6 8 78 80 90 92 108 110 138 140 216 218	77843605812
STPT(10)	2579569109884476557	0 2 12 14 42 44 72 74 84 86	210570305748
STPT(10)	2579569425213752747	0 2 12 14 42 44 72 74 84 86	525899581938
SPT(16)	2579569614587713309	0 4 22 34 58 78 90 94 168 172 184 204 228 240 258 262	715273542500