Prime p₀= 2301755975275414709 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 166 2 10 2 40 2 4 2 (?)
a_n: 0 2 18 20 30 32 198 200 210 212 252 254 258 260
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: Landjunge
db: batch=81, k=14, 16 10 166 10 40 4

SPT(18)	2301755247654356357	0 6 30 44 54 86 146 180 216 230 266 300 360 392 402 416 440 446	-727621058352
STPT(10)	2301755455727873147	0 2 30 32 60 62 90 92 120 122	-519547541562
SPT(16)	2301755688677552927	0 2 36 50 72 96 140 176 186 222 266 290 312 326 360 362	-286597861782
SPT(16)	2301755720287627687	0 24 42 52 66 142 172 184 222 234 264 340 354 364 382 406	-254987787022
STPT(10)	2301755858475363371	0 2 6 8 48 50 90 92 96 98	-116800051338
SPT(16)	2301755944805013659	0 68 84 92 114 140 152 210 212 270 282 308 330 338 354 422	-30470401050
STPT(10)	2301755991784512881	0 2 36 38 78 80 120 122 156 158	16509098172
STPT(10)	2301755998654922861	0 2 6 8 18 20 30 32 36 38	23379508152
SPT(16)	2301756235883449529	0 20 30 74 78 92 98 144 158 204 210 224 228 272 282 302	260608034820
STPT(10)	2301756569380771289	0 2 48 50 90 92 132 134 180 182	594105356580
SPT(16)	2301756578106846227	0 2 24 50 54 92 104 162 182 240 252 290 294 320 342 344	602831431518