Prime p₀= 2309290507574567519 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: Landjunge
db: batch=81, k=10, 2 28 2 28 2

STPT(10)	2309288654247427997	0 2 42 44 72 74 102 104 144 146	-1853327139522
STPT(10)	2309288712325101041	0 2 66 68 108 110 150 152 216 218	-1795249466478
STPT(10)	2309289020983874717	0 2 12 14 72 74 132 134 144 146	-1486590692802
STPT(10)	2309289169614789881	0 2 36 38 78 80 120 122 156 158	-1337959777638
STPT(10)	2309289208667552567	0 2 30 32 42 44 54 56 84 86	-1298907014952
STPT(12)	2309290006591057727	0 2 12 14 42 44 180 182 210 212 222 224	-500983509792
SPT(16)	2309290627033430239	0 24 28 124 132 168 174 294 358 478 484 520 528 624 628 652	119458862720
STPT(10)	2309291453063065481	0 2 6 8 48 50 90 92 96 98	945488497962
STPT(10)	2309291517175078979	0 2 12 14 90 92 168 170 180 182	1009600511460
STPT(10)	2309291654504991881	0 2 6 8 48 50 90 92 96 98	1146930424362
STPT(10)	2309291838951819017	0 2 30 32 102 104 174 176 204 206	1331377251498