Prime p₀= 2322673601282886767 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: arkiss
db: batch=81, k=10, 2 22 2 16 2

STPT(10)	2322672230613348587	0 2 30 32 42 44 54 56 84 86	-1370669538180
SPT(16)	2322672626574386189	0 90 102 120 138 140 168 200 252 284 312 314 332 350 362 452	-974708500578
SPT(16)	2322672649711568597	0 24 32 62 66 80 102 132 134 164 186 200 204 234 242 266	-951571318170
STPT(10)	2322673271225854439	0 2 12 14 90 92 168 170 180 182	-330057032328
STPT(10)	2322673476103243127	0 2 42 44 72 74 102 104 144 146	-125179643640
STPT(10)	2322673584621504929	0 2 12 14 90 92 168 170 180 182	-16661381838
SPT(16)	2322674057844639439	0 22 64 78 90 114 118 120 232 234 238 262 274 288 330 352	456561752672
SPT(16)	2322674060217456091	0 46 126 130 168 196 220 238 258 276 300 328 366 370 450 496	458934569324
SPT(16)	2322674123626276627	0 12 16 30 42 60 72 82 120 130 142 160 172 186 190 202	522343389860
STPT(10)	2322674191961959607	0 2 30 32 72 74 114 116 144 146	590679072840
SPT(16)	2322674239351401293	0 30 66 114 128 198 204 206 288 290 296 366 380 428 464 494	638068514526