Prime p₀= 2353674616522627007 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 10 2 28 2 166 2 106 2 28 2 (?)
a_n: 0 2 42 44 54 56 84 86 252 254 360 362 390 392
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: 392
Found by: suriv
db: batch=81, k=14, 40 10 28 166 106 28

SPT(16)	2353672741912396763	0 14 20 50 56 60 66 78 206 218 224 228 234 264 270 284	-1874610230244
SPT(16)	2353672809321253099	0 10 18 28 40 52 60 88 102 130 138 150 162 172 180 190	-1807201373908
TPT(14)	2353673685242346029	0 2 12 14 210 212 222 224 252 254 300 302 318 320	-931280280978
STPT(10)	2353673876278404761	0 2 6 8 48 50 90 92 96 98	-740244222246
SPT(16)	2353674186234504769	0 4 18 34 54 58 84 94 174 184 210 214 234 250 264 268	-430288122238
STPT(10)	2353674550561956701	0 2 30 32 78 80 126 128 156 158	-65960670306
STPT(10)	2353674865494400697	0 2 12 14 42 44 72 74 84 86	248971773690
SPT(16)	2353675550669114387	0 24 50 56 72 74 84 102 314 332 342 344 360 366 392 416	934146487380
SPT(16)	2353675869586416499	0 24 42 70 82 88 102 112 150 160 174 180 192 220 238 262	1253063789492
STPT(10)	2353675934702132009	0 2 12 14 30 32 48 50 60 62	1318179505002
SPT(16)	2353676402083244261	0 2 48 56 60 62 116 156 242 282 336 338 342 350 396 398	1785560617254