Prime p₀= 2568540260272572401 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 64 2 10 2 10 2 46 2 28 2 (?)
a_n: 0 2 90 92 156 158 168 170 180 182 228 230 258 260
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: 260
Found by: RFGuy_KCCO
db: batch=82, k=14, 88 64 10 10 46 28

SPT(16)	2568539066779653683	0 6 50 66 84 134 170 204 260 294 330 380 398 414 458 464	-1193492918718
SPT(16)	2568539128149910387	0 30 52 64 70 82 90 156 160 226 234 246 252 264 286 316	-1132122662014
SPT(16)	2568539149542812221	0 40 48 58 72 100 118 132 136 150 168 196 210 220 228 268	-1110729760180
STPT(10)	2568539211426696029	0 2 18 20 30 32 42 44 60 62	-1048845876372
STPT(12)	2568539853395979509	0 2 12 14 90 92 222 224 300 302 312 314	-406876592892
SPT(16)	2568540175151623861	0 12 52 132 160 166 238 250 348 360 432 438 466 546 586 598	-85120948540
STPT(10)	2568540382108860371	0 2 36 38 78 80 120 122 156 158	121836287970
STPT(10)	2568540473669764961	0 2 6 8 48 50 90 92 96 98	213397192560
STPT(10)	2568541788168316019	0 2 42 44 90 92 138 140 180 182	1527895743618
SPT(16)	2568541951344216299	0 8 14 18 30 50 84 132 140 188 222 242 254 258 264 272	1691071643898
SPT(16)	2568542023631004299	0 2 14 48 74 90 110 120 152 162 182 198 224 258 270 272	1763358431898