Prime p₀= 3416386480063997819 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 46 2 40 2 40 2 34 2 22 2 (?)
a_n: 0 2 30 32 78 80 120 122 162 164 198 200 222 224
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: 224
Found by: suriv
db: batch=83, k=14, 28 46 40 40 34 22

STPT(10)	3416384171136358361	0 2 30 32 60 62 90 92 120 122	-2308927639458
SPT(16)	3416384744261706247	0 6 34 42 60 84 94 150 196 252 262 286 304 312 340 346	-1735802291572
SPT(16)	3416384853733962707	0 32 42 72 80 156 164 204 212 252 260 336 344 374 384 416	-1626330035112
SPT(16)	3416384971879973839	0 30 40 48 82 84 120 154 168 202 238 240 274 282 292 322	-1508184023980
SPT(16)	3416385357469469881	0 30 40 58 100 112 150 172 306 328 366 378 420 438 448 478	-1122594527938
SPT(16)	3416385707862164347	0 4 10 24 52 66 70 100 156 186 190 204 232 246 252 256	-772201833472
SPT(16)	3416386619948908961	0 12 18 36 38 50 116 158 210 252 318 330 332 350 356 368	139884911142
SPT(16)	3416386711928918657	0 12 20 66 114 156 212 242 264 294 350 392 440 486 494 506	231864920838
SPT(16)	3416386939514126779	0 24 42 64 70 82 84 108 304 328 330 342 348 370 388 412	459450128960
STPT(10)	3416386977630148787	0 2 42 44 72 74 102 104 144 146	497566150968
TPT(14)	3416387895956814731	0 2 36 38 108 110 138 140 168 170 240 242 276 278	1415892816912