Prime p₀= 2309289020983874717 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: Landjunge
db: batch=81, k=10, 2 10 2 58 2

STPT(10)	2309288265453011987	0 2 60 62 72 74 84 86 144 146	-755530862730
SPT(13)	2309288510523351451	0 72 78 108 138 162 180 198 222 252 282 288 360	-510460523266
STPT(10)	2309288613372283139	0 2 42 44 60 62 78 80 120 122	-407611591578
STPT(10)	2309288627720513447	0 2 84 86 222 224 360 362 444 446	-393263361270
STPT(10)	2309288654247427997	0 2 42 44 72 74 102 104 144 146	-366736446720
STPT(10)	2309288712325101041	0 2 66 68 108 110 150 152 216 218	-308658773676
STPT(10)	2309289169614789881	0 2 36 38 78 80 120 122 156 158	148630915164
STPT(10)	2309289208667552567	0 2 30 32 42 44 54 56 84 86	187683677850
STPT(12)	2309290006591057727	0 2 12 14 42 44 180 182 210 212 222 224	985607183010
STPT(10)	2309290507574567519	0 2 30 32 60 62 90 92 120 122	1486590692802
SPT(16)	2309290627033430239	0 24 28 124 132 168 174 294 358 478 484 520 528 624 628 652	1606049555522