Prime p₀= 2568672940884746987 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 10 2 46 2 28 2 10 2 (?)
a_n: 0 2 30 32 42 44 54 56 102 104 132 134 144 146
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: 146
Found by: RFGuy_KCCO
db: batch=82, k=14, 28 10 10 46 28 10

TPT(14)	2568671586669939767	0 2 84 86 144 146 210 212 282 284 300 302 324 326	-1354214807220
SPT(16)	2568671629725766679	0 14 48 74 92 114 122 162 170 210 218 240 258 284 318 332	-1311158980308
STPT(10)	2568672356516607329	0 2 18 20 30 32 42 44 60 62	-584368139658
SPT(16)	2568672562117191869	0 8 20 54 98 110 114 150 152 188 192 204 248 282 294 302	-378767555118
SPT(16)	2568672575607068261	0 8 60 66 92 116 126 140 168 182 192 216 242 248 300 308	-365277678726
SPT(16)	2568672760187955713	0 6 26 116 140 144 230 248 336 354 440 444 468 558 578 584	-180696791274
SPT(16)	2568673052500958701	0 18 30 46 48 90 100 148 180 228 238 280 282 298 310 328	111616211714
SPT(16)	2568673187017794553	0 6 16 36 54 138 168 198 256 286 316 400 418 438 448 454	246133047566
SPT(16)	2568673223112185633	0 30 96 110 114 138 164 174 230 240 266 290 294 308 374 404	282227438646
SPT(16)	2568673250389165093	0 4 40 48 66 84 96 136 168 208 220 238 256 264 300 304	309504418106
SPT(16)	2568673562442053009	0 12 38 102 110 128 140 194 228 282 294 312 320 384 410 422	621557306022