Prime p₀= 2316597258676376087 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: Marcel-Berlin
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2316594897968990393	0 44 56 66 86 104 128 150 164 186 210 228 248 258 270 314	-2360707385694
SPT(16)	2316595823530895227	0 24 46 60 96 136 172 184 222 234 270 310 346 360 382 406	-1435145480860
STPT(10)	2316596382231254939	0 2 12 14 30 32 48 50 60 62	-876445121148
SPT(16)	2316596394166923571	0 16 52 58 72 118 132 238 240 346 360 406 420 426 462 478	-864509452516
SPT(16)	2316596438525113973	0 18 26 78 104 120 138 140 174 176 194 210 236 288 296 314	-820151262114
SPT(16)	2316596860750165921	0 22 48 72 78 118 148 160 168 180 210 250 256 280 306 328	-397926210166
STPT(10)	2316597433201306667	0 2 24 26 42 44 60 62 84 86	174524930580
STPT(10)	2316597981203448869	0 2 12 14 90 92 168 170 180 182	722527072782
STPT(10)	2316598300668348209	0 2 42 44 60 62 78 80 120 122	1041991972122
SPT(16)	2316598528548000887	0 50 56 60 80 86 126 180 182 236 276 282 302 306 312 362	1269871624800
SPT(16)	2316598680663427493	0 68 78 84 90 128 138 144 170 176 186 224 230 236 246 314	1421987051406