Prime p₀= 2343616589811897857 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: Landjunge
db: batch=81, k=10, 2 28 2 40 2

SPT(16)	2343614786695918217	0 26 32 44 62 110 126 144 152 170 186 234 252 264 270 296	-1803115979640
STPT(10)	2343614802624053051	0 2 30 32 60 62 90 92 120 122	-1787187844806
SPT(16)	2343615155512928669	0 14 50 72 78 80 102 114 128 140 162 164 170 192 228 242	-1434298969188
SPT(16)	2343616211770837793	0 48 96 98 114 140 164 188 216 240 264 290 306 308 356 404	-378041060064
SPT(16)	2343616442356171219	0 4 40 42 102 154 208 234 238 264 318 370 430 432 468 472	-147455726638
STPT(10)	2343616482770597849	0 2 12 14 90 92 168 170 180 182	-107041300008
SPT(16)	2343616812906184163	0 14 24 80 90 168 174 236 258 320 326 404 414 470 480 494	223094286306
STPT(10)	2343617840271495857	0 2 24 26 42 44 60 62 84 86	1250459598000
SPT(16)	2343617983868167141	0 18 36 72 100 102 106 148 150 192 196 198 226 262 280 298	1394056269284
SPT(18)	2343618013673455577	0 14 60 120 126 134 146 164 182 234 252 270 282 290 296 356 402 416	1423861557720
SPT(16)	2343618195280837507	0 42 82 102 130 132 154 162 214 222 244 246 274 294 334 376	1605468939650