Prime p₀= 1461096580373059967 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Theadalus
db: batch=78, k=10, 2 28 2 10 2

SPT(16)	1461095395473022261	0 10 18 30 40 52 82 88 150 156 186 198 208 220 228 238	-1184900037706
STPT(10)	1461095415060553157	0 2 54 56 72 74 90 92 144 146	-1165312506810
SPT(16)	1461095610072624329	0 62 72 122 150 182 188 194 228 234 240 272 300 350 360 422	-970300435638
STPT(10)	1461095754751920569	0 2 18 20 60 62 102 104 120 122	-825621139398
SPT(16)	1461096143243282807	0 24 74 114 156 176 200 210 326 336 360 380 422 462 512 536	-437129777160
STPT(10)	1461096530807036489	0 2 42 44 60 62 78 80 120 122	-49566023478
STPT(10)	1461096682944048107	0 2 24 26 42 44 60 62 84 86	102570988140
STPT(10)	1461096998925311777	0 2 30 32 42 44 54 56 84 86	418552251810
SPT(16)	1461097147738905139	0 30 58 78 112 114 124 138 154 168 178 180 214 234 262 292	567365845172
SPT(16)	1461097318238335927	0 4 6 76 84 90 106 172 234 300 316 322 330 400 402 406	737865275960
STPT(10)	1461097656248568971	0 2 6 8 48 50 90 92 96 98	1075875509004