Prime p₀= 2323331651798948849 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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 40 2 16 2

SPT(16)	2323330303826945927	0 2 12 24 54 56 66 72 134 140 150 152 182 194 204 206	-1347972002922
SPT(16)	2323330428894178069	0 48 78 84 88 108 120 132 190 202 214 234 238 244 274 322	-1222904770780
SPT(16)	2323330708965707671	0 10 28 42 52 60 66 88 90 112 118 126 136 150 168 178	-942833241178
SPT(16)	2323330735202915257	0 22 30 46 72 84 106 120 136 150 172 184 210 226 234 256	-916596033592
STPT(10)	2323331444680357217	0 2 30 32 42 44 54 56 84 86	-207118591632
SPT(16)	2323331599889900023	0 30 36 48 138 186 198 210 244 256 268 316 406 418 424 454	-51909048826
STPT(10)	2323331993118768389	0 2 18 20 30 32 42 44 60 62	341319819540
STPT(10)	2323332196357993019	0 2 42 44 90 92 138 140 180 182	544559044170
STPT(10)	2323332300495572477	0 2 42 44 72 74 102 104 144 146	648696623628
STPT(10)	2323332931010952629	0 2 18 20 30 32 42 44 60 62	1279212003780
STPT(10)	2323333571645479241	0 2 36 38 78 80 120 122 156 158	1919846530392