Prime p₀= 1016528497130967839 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 88 2 124 2 52 2 58 2 4 2 (?)
a_n: 0 2 12 14 102 104 228 230 282 284 342 344 348 350
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: 350
Found by: stoneageman
db: batch=76, k=14, 10 88 124 52 58 4

SPT(16)	1016527989868523441	0 56 60 72 86 110 156 192 200 236 282 306 320 332 336 392	-507262444398
STPT(10)	1016528038368724961	0 2 30 32 78 80 126 128 156 158	-458762242878
STPT(10)	1016528379738343697	0 2 30 32 42 44 54 56 84 86	-117392624142
SPT(16)	1016528413659399787	0 12 40 94 130 132 136 144 202 210 214 216 252 306 334 346	-83471568052
SPT(16)	1016528483673889903	0 6 34 36 54 78 124 178 276 330 376 400 418 420 448 454	-13457077936
STPT(10)	1016528494395637511	0 2 78 80 138 140 198 200 276 278	-2735330328
STPT(10)	1016528763590825999	0 2 42 44 90 92 138 140 180 182	266459858160
SPT(16)	1016528786045986139	0 38 62 72 98 104 164 174 188 198 258 264 290 300 324 362	288915018300
SPT(16)	1016528861993678741	0 12 50 96 140 156 162 180 182 200 206 222 266 312 350 362	364862710902
TPT(14)	1016529042521018951	0 2 138 140 156 158 198 200 210 212 306 308 378 380	545390051112
SPT(16)	1016529151529462633	0 44 56 66 98 128 140 144 170 174 186 216 248 258 270 314	654398494794