Prime p₀= 2512827607867041329 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 58 2 124 2 22 2 154 2 28 2 (?)
a_n: 0 2 42 44 102 104 228 230 252 254 408 410 438 440
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: 440
Found by: [AF>Linux]Rogue 9
db: batch=82, k=14, 40 58 124 22 154 28

SPT(16)	2512826857513560359	0 14 18 38 44 78 104 114 134 144 170 204 210 230 234 248	-750353480970
SPT(16)	2512827117953795893	0 6 40 60 90 118 150 204 220 274 306 334 364 384 418 424	-489913245436
SPT(16)	2512827122421197941	0 28 52 78 100 108 118 130 258 270 280 288 310 336 360 388	-485445843388
SPT(16)	2512827525536010503	0 20 78 84 86 104 108 120 134 146 150 168 170 176 234 254	-82331030826
SPT(16)	2512827538800322981	0 40 52 58 132 142 208 210 250 252 318 328 402 408 420 460	-69066718348
SPT(16)	2512827554018397067	0 22 34 36 64 70 84 90 106 112 126 132 160 162 174 196	-53848644262
SPT(16)	2512827748099502051	0 26 86 92 102 116 126 138 140 152 162 176 186 192 252 278	140232460722
STPT(10)	2512827947320074677	0 2 42 44 72 74 102 104 144 146	339453033348
STPT(10)	2512828071929576507	0 2 12 14 42 44 72 74 84 86	464062535178
SPT(16)	2512828389274633627	0 10 16 60 84 114 162 172 204 214 262 292 316 360 366 376	781407592298
STPT(10)	2512828647789823577	0 2 30 32 42 44 54 56 84 86	1039922782248