Prime p₀= 2095421762428126001 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 10 2 190 2 28 2 64 2 58 2 (?)
a_n: 0 2 36 38 48 50 240 242 270 272 336 338 396 398
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: 398
Found by: Landjunge
db: batch=80, k=14, 34 10 190 28 64 58

SPT(16)	2095419845344364537	0 12 26 92 104 126 140 164 192 216 230 252 264 330 344 356	-1917083761464
SPT(16)	2095420187842515601	0 40 58 78 100 106 112 160 168 216 222 228 250 270 288 328	-1574585610400
STPT(10)	2095420253360411399	0 2 78 80 120 122 162 164 240 242	-1509067714602
SPT(16)	2095420505090890009	0 102 112 130 138 162 190 204 208 222 250 274 282 300 310 412	-1257337235992
STPT(10)	2095420668648832727	0 2 42 44 72 74 102 104 144 146	-1093779293274
STPT(10)	2095420769016005609	0 2 12 14 90 92 168 170 180 182	-993412120392
STPT(10)	2095422042466718261	0 2 6 8 18 20 30 32 36 38	280038592260
TPT(14)	2095422056897688047	0 2 12 14 42 44 72 74 84 86 102 104 114 116	294469562046
STPT(10)	2095422056897688047	0 2 12 14 42 44 72 74 84 86	294469562046
SPT(16)	2095422121533105481	0 42 58 76 90 96 100 120 208 228 232 238 252 270 286 328	359104979480
SPT(16)	2095422286422498049	0 4 34 42 48 78 118 120 142 144 184 214 220 228 258 262	523994372048