Prime p₀= 4276848483872715857 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Arkhenia
db: batch=85, k=10, 2 10 2 28 2

SPT(16)	4276847498171839889	0 42 48 60 62 68 74 110 132 168 174 180 182 194 200 242	-985700875968
STPT(10)	4276847507226647567	0 2 30 32 42 44 54 56 84 86	-976646068290
SPT(16)	4276847526128911813	0 4 24 30 36 78 118 126 178 186 226 268 274 280 300 304	-957743804044
SPT(16)	4276847804589169981	0 40 78 90 120 132 160 162 166 168 196 208 238 250 288 328	-679283545876
SPT(16)	4276848021562584487	0 6 22 60 70 96 120 130 162 172 196 222 232 270 286 292	-462310131370
SPT(16)	4276848242599605679	0 10 34 70 84 88 108 142 210 244 264 268 282 318 342 352	-241273110178
STPT(10)	4276848571197096647	0 2 30 32 42 44 54 56 84 86	87324380790
STPT(10)	4276848610968989351	0 2 6 8 18 20 30 32 36 38	127096273494
STPT(10)	4276848849337150319	0 2 48 50 60 62 72 74 120 122	365464434462
SPT(16)	4276848872923135589	0 38 72 92 98 114 134 150 152 168 188 204 210 230 264 302	389050419732
STPT(10)	4276848900141159887	0 2 30 32 42 44 54 56 84 86	416268444030