Prime p₀= 2343617840271495857 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Landjunge
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2343615155512928669	0 14 50 72 78 80 102 114 128 140 162 164 170 192 228 242	-2684758567188
SPT(16)	2343616211770837793	0 48 96 98 114 140 164 188 216 240 264 290 306 308 356 404	-1628500658064
SPT(16)	2343616442356171219	0 4 40 42 102 154 208 234 238 264 318 370 430 432 468 472	-1397915324638
STPT(10)	2343616482770597849	0 2 12 14 90 92 168 170 180 182	-1357500898008
STPT(10)	2343616589811897857	0 2 30 32 72 74 114 116 144 146	-1250459598000
SPT(16)	2343616812906184163	0 14 24 80 90 168 174 236 258 320 326 404 414 470 480 494	-1027365311694
SPT(16)	2343617983868167141	0 18 36 72 100 102 106 148 150 192 196 198 226 262 280 298	143596671284
SPT(18)	2343618013673455577	0 14 60 120 126 134 146 164 182 234 252 270 282 290 296 356 402 416	173401959720
SPT(16)	2343618195280837507	0 42 82 102 130 132 154 162 214 222 244 246 274 294 334 376	355009341650
TPT(14)	2343618255321001409	0 2 18 20 48 50 102 104 168 170 210 212 258 260	415049505552
SPT(16)	2343618289066671679	0 10 12 34 72 108 168 174 178 184 244 280 318 340 342 352	448795175822