Prime p₀= 1000789291253159669 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: Theadalus
db: batch=76, k=10, 2 16 2 10 2

SPT(16)	1000787800425448583	0 6 20 48 56 78 86 126 170 210 218 240 248 276 290 296	-1490827711086
STPT(10)	1000788005829586589	0 2 18 20 30 32 42 44 60 62	-1285423573080
SPT(16)	1000788376749546991	0 36 40 78 100 112 156 160 168 172 216 228 250 288 292 328	-914503612678
SPT(16)	1000789056072402767	0 2 56 74 140 146 150 164 192 206 210 216 282 300 354 356	-235180756902
TPT(14)	1000789067142650111	0 2 6 8 96 98 126 128 186 188 210 212 300 302	-224110509558
SPT(16)	1000789174646516999	0 30 32 44 74 120 122 150 182 210 212 258 288 300 302 332	-116606642670
STPT(10)	1000789392910761161	0 2 36 38 78 80 120 122 156 158	101657601492
STPT(10)	1000789457990790407	0 2 30 32 60 62 90 92 120 122	166737630738
STPT(10)	1000789712461108649	0 2 48 50 60 62 72 74 120 122	421207948980
STPT(10)	1000789895726938781	0 2 36 38 78 80 120 122 156 158	604473779112
SPT(16)	1000790117060645869	0 28 52 94 154 168 172 174 178 180 184 198 258 300 324 352	825807486200