Prime p₀= 1597273784170898567 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: biodoc
db: batch=78, k=10, 2 22 2 16 2

SPT(16)	1597272842386998583	0 30 100 130 190 226 256 268 288 300 330 366 426 456 526 556	-941783899984
SPT(16)	1597272984660418249	0 22 28 34 48 78 108 148 204 244 274 304 318 324 330 352	-799510480318
SPT(16)	1597273203561565529	0 30 38 60 72 90 98 108 164 174 182 200 212 234 242 272	-580609333038
SPT(16)	1597273277250219559	0 4 18 28 60 64 72 84 148 160 168 172 204 214 228 232	-506920679008
STPT(10)	1597273399645925579	0 2 42 44 90 92 138 140 180 182	-384524972988
SPT(16)	1597273680029979011	0 30 32 90 132 152 180 188 210 218 246 266 308 366 368 398	-104140919556
TPT(14)	1597273881368333219	0 2 18 20 42 44 60 62 78 80 120 122 258 260	97197434652
SPT(16)	1597273900612231717	0 24 54 64 82 102 144 154 162 172 214 234 252 262 292 316	116441333150
STPT(10)	1597274439057946967	0 2 42 44 132 134 222 224 264 266	654887048400
SPT(16)	1597275396217550033	0 6 74 80 98 168 194 200 294 300 326 396 414 420 488 494	1612046651466
STPT(10)	1597275743471286869	0 2 48 50 90 92 132 134 180 182	1959300388302