Prime p₀= 2723065578703554347 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 82 2 46 2 46 2 82 2 (?)
a_n: 0 2 84 86 132 134 180 182 264 266
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: 266
Found by: JayPi
db: batch=82, k=10, 2 82 2 46 2

SPT(16)	2723064064427159729	0 20 38 90 108 128 134 150 152 168 174 194 212 264 282 302	-1514276394618
SPT(16)	2723064145957749697	0 10 36 46 82 94 102 126 130 154 162 174 210 220 246 256	-1432745804650
SPT(16)	2723064205224929551	0 10 30 96 112 130 156 166 186 196 222 240 256 322 342 352	-1373478624796
TPT(14)	2723064786426142511	0 2 36 38 108 110 216 218 276 278 288 290 330 332	-792277411836
SPT(13)	2723064957985406789	0 18 60 84 108 228 234 240 360 384 408 450 468	-620718147558
SPT(16)	2723065360035164017	0 12 16 24 66 70 82 180 196 294 306 310 352 360 364 376	-218668390330
STPT(10)	2723065896481050047	0 2 54 56 72 74 90 92 144 146	317777495700
STPT(10)	2723065951771173641	0 2 6 8 48 50 90 92 96 98	373067619294
STPT(10)	2723065980616405397	0 2 30 32 42 44 54 56 84 86	401912851050
STPT(10)	2723066005913932727	0 2 42 44 72 74 102 104 144 146	427210378380
SPT(16)	2723066133579011657	0 26 30 156 176 204 210 230 240 260 266 294 314 440 444 470	554875457310