Prime p₀= 2313242652819792047 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 58 2 10 2 64 2 52 2 (?)
a_n: 0 2 30 32 72 74 132 134 144 146 210 212 264 266
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: 266
Found by: Landjunge
db: batch=81, k=14, 28 40 58 10 64 52

SPT(16)	2313241532037418673	0 6 8 20 36 80 98 158 168 228 246 290 306 318 320 326	-1120782373374
SPT(16)	2313241751088504013	0 4 10 46 60 66 156 178 186 208 298 304 318 354 360 364	-901731288034
SPT(16)	2313242055358089943	0 10 24 94 114 118 138 154 180 196 216 220 240 310 324 334	-597461702104
SPT(16)	2313242389846277917	0 24 34 42 76 112 132 136 150 154 174 210 244 252 262 286	-262973514130
STPT(10)	2313242452849867937	0 2 30 32 72 74 114 116 144 146	-199969924110
SPT(18)	2313242499800001391	0 10 18 52 72 108 112 142 150 178 186 216 220 256 276 310 318 328	-153019790656
STPT(10)	2313242691885916127	0 2 30 32 42 44 54 56 84 86	39066124080
SPT(16)	2313242801585615299	0 22 30 58 64 70 88 108 184 204 222 228 234 262 270 292	148765823252
SPT(16)	2313243063932639401	0 40 70 72 142 160 180 198 220 238 258 276 346 348 378 418	411112847354
SPT(16)	2313243305833175467	0 64 70 72 126 142 160 202 204 246 264 280 334 336 342 406	653013383420
STPT(10)	2313244266870269009	0 2 12 14 90 92 168 170 180 182	1614050476962