Prime p₀= 2082656726333741609 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 122
Found by: Landjunge
db: batch=80, k=10, 2 40 2 16 2

STPT(10)	2082654507790738667	0 2 30 32 60 62 90 92 120 122	-2218543002942
SPT(16)	2082654839716929529	0 24 58 64 84 108 112 130 132 150 154 178 198 204 238 262	-1886616812080
STPT(10)	2082655061419723559	0 2 18 20 30 32 42 44 60 62	-1664914018050
SPT(16)	2082655649037671989	0 4 24 30 42 58 112 130 162 180 234 250 262 268 288 292	-1077296069620
STPT(10)	2082655704880453991	0 2 36 38 78 80 120 122 156 158	-1021453287618
STPT(10)	2082656168711820509	0 2 90 92 150 152 210 212 300 302	-557621921100
SPT(16)	2082656990379610943	0 8 36 50 68 84 86 96 128 138 140 156 174 188 216 224	264045869334
SPT(16)	2082657161718363899	0 14 60 102 132 188 224 230 252 258 294 350 380 422 468 482	435384622290
SPT(13)	2082657530678125327	0 12 42 54 72 90 132 174 192 210 222 252 264	804344383718
SPT(16)	2082657966730443631	0 16 18 36 46 96 106 118 210 222 232 282 292 310 312 328	1240396702022
STPT(10)	2082658280407588031	0 2 30 32 78 80 126 128 156 158	1554073846422