Prime p₀= 2356519959152234999 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: Landjunge
db: batch=81, k=10, 2 10 2 16 2

STPT(10)	2356518323520623189	0 2 48 50 90 92 132 134 180 182	-1635631611810
STPT(10)	2356518748562795429	0 2 18 20 30 32 42 44 60 62	-1210589439570
SPT(16)	2356518994134895229	0 2 14 50 80 90 110 134 210 234 254 264 294 330 342 344	-965017339770
TPT(14)	2356519555784730599	0 2 30 32 132 134 168 170 180 182 240 242 258 260	-403367504400
SPT(16)	2356519766984154173	0 8 30 54 78 98 140 146 198 204 246 266 290 314 336 344	-192168080826
TPT(14)	2356519797168707171	0 2 78 80 108 110 126 128 138 140 150 152 210 212	-161983527828
SPT(16)	2356520508271335457	0 10 52 60 64 154 162 172 174 184 192 282 286 294 336 346	549119100458
SPT(16)	2356520890964731429	0 12 28 64 78 82 94 124 138 168 180 184 198 234 250 262	931812496430
STPT(10)	2356521973318314029	0 2 48 50 90 92 132 134 180 182	2014166079030
STPT(10)	2356522066591755089	0 2 18 20 30 32 42 44 60 62	2107439520090
TPT(14)	2356522445049618401	0 2 48 50 96 98 138 140 180 182 210 212 216 218	2485897383402