Prime p₀= 2352199125868255661 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 52 2 28 2 4 2 58 2 112 2 (?)
a_n: 0 2 6 8 60 62 90 92 96 98 156 158 270 272
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: 272
Found by: arkiss
db: batch=81, k=14, 4 52 28 4 58 112

STPT(10)	2352196553024148419	0 2 78 80 120 122 162 164 240 242	-2572844107242
SPT(16)	2352196602564041221	0 10 16 66 72 76 102 126 202 226 252 256 262 312 318 328	-2523304214440
STPT(10)	2352196766164313639	0 2 18 20 30 32 42 44 60 62	-2359703942022
TPT(14)	2352197289324492917	0 2 24 26 30 32 102 104 150 152 180 182 234 236	-1836543762744
SPT(16)	2352198415985489411	0 18 26 32 42 48 60 62 96 98 110 116 126 132 140 158	-709882766250
STPT(10)	2352198869044658927	0 2 42 44 72 74 102 104 144 146	-256823596734
SPT(16)	2352199386470525219	0 24 38 60 68 92 134 140 162 168 210 234 242 264 278 302	260602269558
STPT(12)	2352199431501616007	0 2 24 26 84 86 150 152 210 212 234 236	305633360346
SPT(16)	2352199472555173369	0 22 34 64 88 274 280 324 358 402 408 594 618 648 660 682	346686917708
STPT(10)	2352199538632078307	0 2 12 14 42 44 72 74 84 86	412763822646
SPT(16)	2352199669628753591	0 12 20 26 78 150 170 212 216 258 278 350 402 408 416 428	543760497930