Prime p₀= 2458786116979817897 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2458782950859404327	0 14 42 54 60 114 146 170 186 210 242 296 302 314 342 356	-3166120413570
STPT(10)	2458783470610707179	0 2 30 32 60 62 90 92 120 122	-2646369110718
TPT(14)	2458783531700325101	0 2 18 20 138 140 150 152 198 200 240 242 270 272	-2585279492796
SPT(16)	2458784172835870457	0 14 42 62 74 92 116 140 216 240 264 282 294 314 342 356	-1944143947440
TPT(14)	2458784377146362537	0 2 30 32 42 44 60 62 84 86 114 116 252 254	-1739833455360
SPT(16)	2458785822822728327	0 26 32 36 60 90 110 162 164 216 236 266 290 294 300 326	-294157089570
SPT(16)	2458786616177681431	0 10 22 42 70 120 132 160 168 196 208 258 286 306 318 328	499197863534
STPT(10)	2458787017179307181	0 2 6 8 48 50 90 92 96 98	900199489284
STPT(10)	2458787246067241079	0 2 12 14 90 92 168 170 180 182	1129087423182
STPT(10)	2458787534995741889	0 2 42 44 60 62 78 80 120 122	1418015923992
TPT(14)	2458787842183560467	0 2 72 74 84 86 150 152 180 182 312 314 324 326	1725203742570