Prime p₀= 3717729612520579889 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 16 2 70 2 40 2 88 2 4 2 (?)
a_n: 0 2 30 32 48 50 120 122 162 164 252 254 258 260
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: 260
Found by: [AF] Kalianthys
db: batch=84, k=14, 28 16 70 40 88 4

SPT(13)	3717726956977702667	0 60 66 84 96 174 180 186 264 276 294 300 360	-2655542877222
STPT(10)	3717727607066790299	0 2 12 14 90 92 168 170 180 182	-2005453789590
TPT(14)	3717728327128835231	0 2 78 80 90 92 186 188 198 200 258 260 300 302	-1285391744658
STPT(10)	3717728719943049137	0 2 60 62 72 74 84 86 144 146	-892577530752
SPT(16)	3717728767690287199	0 12 28 54 72 78 114 220 252 358 394 400 418 444 460 472	-844830292690
SPT(16)	3717728937319015523	0 24 78 84 86 126 144 156 218 230 248 288 290 296 350 374	-675201564366
SPT(16)	3717729635891769671	0 12 26 66 78 110 162 206 222 266 318 350 362 402 416 428	23371189782
STPT(10)	3717729780564492617	0 2 12 14 42 44 72 74 84 86	168043912728
SPT(16)	3717730196728309681	0 12 72 96 100 148 156 166 222 232 240 288 292 316 376 388	584207729792
SPT(16)	3717730571221613389	0 18 22 34 84 144 148 150 172 174 178 238 288 300 304 322	958701033500
STPT(10)	3717731152988929631	0 2 36 38 78 80 120 122 156 158	1540468349742