Prime p₀= 2310550473800478977 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: FritzB
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2310549305246198239	0 10 72 88 100 108 132 138 214 220 244 252 264 280 342 352	-1168554280738
SPT(16)	2310549968191085377	0 40 54 72 82 130 144 162 172 190 204 252 262 280 294 334	-505609393600
STPT(10)	2310549976152359939	0 2 48 50 90 92 132 134 180 182	-497648119038
TPT(14)	2310550059728089007	0 2 54 56 162 164 174 176 180 182 402 404 420 422	-414072389970
STPT(10)	2310550265455480331	0 2 6 8 48 50 90 92 96 98	-208344998646
SPT(16)	2310550430222146873	0 4 36 40 120 138 178 190 234 246 286 304 384 388 420 424	-43578332104
STPT(10)	2310550584869180837	0 2 30 32 42 44 54 56 84 86	111068701860
STPT(10)	2310550814026911899	0 2 42 44 60 62 78 80 120 122	340226432922
STPT(10)	2310550902267597929	0 2 42 44 60 62 78 80 120 122	428467118952
STPT(10)	2310551395905329807	0 2 24 26 42 44 60 62 84 86	922104850830
STPT(10)	2310551501498197157	0 2 30 32 72 74 114 116 144 146	1027697718180