Prime p₀= 2309998466812798379 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 10 2 10 2 46 2 (?)
a_n: 0 2 48 50 60 62 72 74 120 122
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: 122
Found by: FritzB
db: batch=81, k=10, 2 46 2 10 2

STPT(10)	2309996675341059371	0 2 6 8 18 20 30 32 36 38	-1791471739008
SPT(16)	2309996886223281709	0 10 34 138 154 174 208 210 268 270 304 324 340 444 468 478	-1580589516670
SPT(16)	2309997389090948659	0 42 60 64 70 112 130 144 268 282 300 342 348 352 370 412	-1077721849720
STPT(10)	2309997492545092349	0 2 18 20 30 32 42 44 60 62	-974267706030
STPT(10)	2309997867623937311	0 2 6 8 18 20 30 32 36 38	-599188861068
STPT(10)	2309997970859199329	0 2 18 20 60 62 102 104 120 122	-495953599050
SPT(16)	2309998536876201799	0 40 52 64 70 78 102 108 124 130 154 162 168 180 192 232	70063403420
SPT(16)	2309998587491301647	0 42 56 84 90 132 150 152 204 206 224 266 272 300 314 356	120678503268
STPT(10)	2309999008516345919	0 2 48 50 90 92 132 134 180 182	541703547540
SPT(16)	2309999413146217547	0 20 30 80 104 132 144 150 164 170 182 210 234 284 294 314	946333419168
STPT(10)	2309999464528316591	0 2 30 32 60 62 90 92 120 122	997715518212