Prime p₀= 2328342876477664511 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 28 2 58 2 40 2 94 2 10 2 (?)
a_n: 0 2 78 80 108 110 168 170 210 212 306 308 318 320
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: 320
Found by: Orange Kid
db: batch=81, k=14, 76 28 58 40 94 10

SPT(16)	2328341095544636033	0 50 66 96 158 170 200 218 228 246 276 288 350 380 396 446	-1780933028478
SPT(16)	2328341341683629803	0 10 48 58 126 130 150 180 214 244 264 268 336 346 384 394	-1534794034708
SPT(16)	2328341599377313721	0 38 48 68 78 116 126 138 188 200 210 248 258 278 288 326	-1277100350790
SPT(18)	2328341906898388939	0 52 54 78 132 150 160 174 204 208 238 252 262 280 334 358 360 412	-969579275572
SPT(16)	2328341951584485827	0 12 14 50 126 132 146 152 294 300 314 320 396 432 434 446	-924893178684
SPT(16)	2328342112387896749	0 74 84 92 152 182 198 204 278 284 300 330 390 398 408 482	-764089767762
STPT(10)	2328342925438400291	0 2 36 38 78 80 120 122 156 158	48960735780
STPT(10)	2328343200219322919	0 2 42 44 90 92 138 140 180 182	323741658408
STPT(10)	2328343260430690829	0 2 18 20 30 32 42 44 60 62	383953026318
SPT(16)	2328343324616260789	0 24 28 34 52 70 82 84 88 90 102 120 138 144 148 172	448138596278
STPT(10)	2328343325440624937	0 2 30 32 42 44 54 56 84 86	448962960426