Prime p₀= 2453896461996482051 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 82 2 4 2 10 2 178 2 10 2 (?)
a_n: 0 2 6 8 90 92 96 98 108 110 288 290 300 302
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: 302
Found by: JayPi
db: batch=82, k=14, 4 82 4 10 178 10

SPT(16)	2453894562846855001	0 12 18 52 60 90 100 112 156 168 178 208 216 250 256 268	-1899149627050
SPT(16)	2453895024480644207	0 42 50 56 102 126 176 180 266 270 320 344 390 396 404 446	-1437515837844
STPT(10)	2453896109502107267	0 2 90 92 132 134 174 176 264 266	-352494374784
STPT(10)	2453896146003786101	0 2 36 38 78 80 120 122 156 158	-315992695950
SPT(16)	2453896226535053239	0 10 42 70 78 120 130 162 220 252 262 304 312 340 372 382	-235461428812
STPT(10)	2453896386018854501	0 2 6 8 48 50 90 92 96 98	-75977627550
SPT(16)	2453896530148444079	0 20 72 84 138 140 144 180 242 278 282 284 338 350 402 422	68151962028
SPT(16)	2453896750374747103	0 76 100 144 154 156 166 210 214 258 268 270 280 324 348 424	288378265052
SPT(16)	2453896946095679573	0 48 86 126 140 158 164 198 266 300 306 324 338 378 416 464	484099197522
STPT(10)	2453897041824214697	0 2 12 14 42 44 72 74 84 86	579827732646
SPT(16)	2453897252095197539	0 8 38 54 68 120 144 180 182 218 242 294 308 324 354 362	790098715488