Prime p₀= 4364176382462297519 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Autofuzzy
db: batch=85, k=10, 2 16 2 10 2

STPT(10)	4364174827403306471	0 2 6 8 48 50 90 92 96 98	-1555058991048
SPT(16)	4364175281557823491	0 28 36 60 78 96 130 132 196 198 232 250 268 292 300 328	-1100904474028
STPT(10)	4364175608283443549	0 2 18 20 60 62 102 104 120 122	-774178853970
STPT(10)	4364175795267978647	0 2 12 14 42 44 72 74 84 86	-587194318872
SPT(16)	4364175868881117829	0 42 82 88 114 130 148 172 180 204 222 238 264 270 310 352	-513581179690
STPT(10)	4364176336787769347	0 2 24 26 42 44 60 62 84 86	-45674528172
STPT(10)	4364176410560813447	0 2 30 32 42 44 54 56 84 86	28098515928
STPT(10)	4364176618071191819	0 2 18 20 30 32 42 44 60 62	235608894300
SPT(16)	4364176843689073129	0 28 34 42 54 70 102 118 144 160 192 208 220 228 234 262	461226775610
SPT(16)	4364177179159848709	0 42 52 70 102 120 130 138 154 162 172 190 222 240 250 292	796697551190
SPT(16)	4364177513090887861	0 6 12 42 52 90 96 102 160 166 172 210 220 250 256 262	1130628590342