Prime p₀= 949796090647262657 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 22 2 64 2 40 2 70 2 46 2 (?)
a_n: 0 2 30 32 54 56 120 122 162 164 234 236 282 284
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: 284
Found by: Theadalus
db: batch=76, k=14, 28 22 64 40 70 46

SPT(16)	949794877455286153	0 30 46 48 64 78 90 120 124 154 166 180 196 198 214 244	-1213191976504
SPT(16)	949794942750781159	0 18 54 64 70 84 148 160 168 180 244 258 264 274 310 328	-1147896481498
SPT(16)	949795867515637007	0 12 42 56 66 110 134 140 186 192 216 260 270 284 314 326	-223131625650
SPT(16)	949795879982753273	0 30 66 84 98 116 164 186 218 240 288 306 320 338 374 404	-210664509384
SPT(16)	949795965896244749	0 32 60 62 78 104 128 132 200 204 228 254 270 272 300 332	-124751017908
SPT(16)	949795997126672359	0 10 48 60 88 130 178 210 328 360 408 450 478 490 528 538	-93520590298
STPT(10)	949796200359826019	0 2 48 50 90 92 132 134 180 182	109712563362
STPT(10)	949796218095380429	0 2 42 44 90 92 138 140 180 182	127448117772
STPT(10)	949796456665770137	0 2 30 32 72 74 114 116 144 146	366018507480
SPT(16)	949796688659031701	0 12 36 50 60 66 90 116 126 152 176 182 192 206 230 242	598011769044
SPT(16)	949796894915041727	0 14 32 42 50 102 114 162 242 290 302 354 362 372 390 404	804267779070