Prime p₀= 1461095754751920569 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: Theadalus
db: batch=78, k=10, 2 16 2 40 2

SPT(16)	1461095212351152451	0 6 10 12 100 138 142 160 198 216 220 258 346 348 352 358	-542400768118
STPT(10)	1461095240806853369	0 2 12 14 90 92 168 170 180 182	-513945067200
SPT(16)	1461095368914061427	0 42 54 110 126 144 156 206 240 290 302 320 336 392 404 446	-385837859142
SPT(16)	1461095395473022261	0 10 18 30 40 52 82 88 150 156 186 198 208 220 228 238	-359278898308
STPT(10)	1461095415060553157	0 2 54 56 72 74 90 92 144 146	-339691367412
SPT(16)	1461095610072624329	0 62 72 122 150 182 188 194 228 234 240 272 300 350 360 422	-144679296240
SPT(16)	1461096143243282807	0 24 74 114 156 176 200 210 326 336 360 380 422 462 512 536	388491362238
STPT(10)	1461096530807036489	0 2 42 44 60 62 78 80 120 122	776055115920
STPT(10)	1461096580373059967	0 2 30 32 42 44 54 56 84 86	825621139398
STPT(10)	1461096682944048107	0 2 24 26 42 44 60 62 84 86	928192127538
STPT(10)	1461096998925311777	0 2 30 32 42 44 54 56 84 86	1244173391208