Prime p₀= 2564551954171294859 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 64 2 40 2 16 2 28 2 10 2 (?)
a_n: 0 2 102 104 168 170 210 212 228 230 258 260 270 272
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: RFGuy_KCCO
db: batch=82, k=14, 100 64 40 16 28 10

SPT(16)	2564550276501154483	0 10 36 40 66 120 136 168 178 210 226 280 306 310 336 346	-1677670140376
STPT(10)	2564550418895970677	0 2 12 14 72 74 132 134 144 146	-1535275324182
STPT(10)	2564550484825105877	0 2 42 44 72 74 102 104 144 146	-1469346188982
SPT(16)	2564551361400732547	0 76 96 112 130 160 216 226 240 250 306 336 354 370 390 466	-592770562312
STPT(10)	2564551514368291541	0 2 36 38 78 80 120 122 156 158	-439803003318
SPT(16)	2564551545650229983	0 66 108 168 200 204 234 278 336 380 410 414 446 506 548 614	-408521064876
STPT(10)	2564552295553141637	0 2 42 44 72 74 102 104 144 146	341381846778
SPT(16)	2564552519942114479	0 22 24 42 52 78 88 142 150 204 214 240 250 268 270 292	565770819620
SPT(16)	2564552717713916957	0 14 20 42 80 86 122 144 152 174 210 216 254 276 282 296	763542622098
SPT(16)	2564552780162509783	0 10 30 34 66 76 138 154 180 196 258 268 300 304 324 334	825991214924
SPT(16)	2564553047141798357	0 30 36 56 126 150 164 182 264 282 296 320 390 410 416 446	1092970503498