Prime p₀= 2565839878422917651 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: [SG-FC] hl
db: batch=82, k=10, 2 34 2 40 2

SPT(16)	2565838690493932471	0 16 66 126 132 142 150 160 192 202 210 220 226 286 336 352	-1187928985180
SPT(16)	2565838823824798199	0 12 18 32 54 80 98 104 228 234 252 278 300 314 320 332	-1054598119452
SPT(16)	2565838857444343711	0 28 42 48 66 72 96 112 156 172 196 202 220 226 240 268	-1020978573940
SPT(16)	2565839190099999421	0 60 76 112 166 186 196 238 240 282 292 312 366 402 418 478	-688322918230
STPT(10)	2565839483320191821	0 2 30 32 138 140 246 248 276 278	-395102725830
TPT(14)	2565839747269430249	0 2 78 80 90 92 132 134 168 170 198 200 228 230	-131153487402
SPT(16)	2565841028214580789	0 12 40 70 84 100 114 154 168 208 222 238 252 282 310 322	1149791663138
STPT(10)	2565841373983909517	0 2 12 14 42 44 72 74 84 86	1495560991866
TPT(14)	2565841415248656239	0 2 60 62 78 80 90 92 102 104 168 170 258 260	1536825738588
STPT(10)	2565841482551116709	0 2 42 44 60 62 78 80 120 122	1604128199058
SPT(16)	2565841614639242743	0 16 66 96 100 114 126 168 196 238 250 264 268 298 348 364	1736216325092