Prime p₀= 2596548746813662967 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: JayPi
db: batch=82, k=10, 2 58 2 10 2

STPT(10)	2596546731089575679	0 2 18 20 30 32 42 44 60 62	-2015724087288
SPT(16)	2596547147944995347	0 12 14 44 84 90 110 120 146 156 176 182 222 252 254 266	-1598868667620
SPT(16)	2596547344168200971	0 78 86 126 186 198 210 240 296 326 338 350 410 450 458 536	-1402645461996
STPT(10)	2596547707500746927	0 2 12 14 72 74 132 134 144 146	-1039312916040
STPT(10)	2596547967888560051	0 2 36 38 78 80 120 122 156 158	-778925102916
SPT(16)	2596548560268825551	0 8 36 42 86 90 186 188 210 212 308 312 356 362 390 398	-186544837416
STPT(10)	2596548819460813199	0 2 48 50 90 92 132 134 180 182	72647150232
SPT(16)	2596549413467386889	0 2 24 44 50 54 80 122 240 282 308 312 318 338 360 362	666653723922
STPT(10)	2596549436318659571	0 2 36 38 78 80 120 122 156 158	689504996604
SPT(16)	2596549467319787311	0 28 106 112 150 156 160 178 180 198 202 208 246 252 330 358	720506124344
SPT(16)	2596549882289148337	0 6 24 54 76 96 160 166 180 186 250 270 292 322 340 346	1135475485370