Prime p₀= 2081664934491075677 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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=80, k=10, 2 40 2 28 2

STPT(10)	2081664158906969627	0 2 42 44 72 74 102 104 144 146	-775584106050
SPT(16)	2081664291585468041	0 30 56 60 72 92 180 182 216 218 306 326 338 342 368 398	-642905607636
SPT(16)	2081664558975038269	0 22 52 70 94 100 124 144 148 168 192 198 222 240 270 292	-375516037408
SPT(16)	2081664662662959277	0 36 72 94 96 114 124 126 220 222 232 250 252 274 310 346	-271828116400
TPT(14)	2081664763689011951	0 2 30 32 60 62 156 158 246 248 300 302 366 368	-170802063726
STPT(10)	2081664824864934887	0 2 30 32 42 44 54 56 84 86	-109626140790
SPT(16)	2081665224484900429	0 18 34 70 78 90 100 114 214 228 238 250 258 294 310 328	289993824752
SPT(16)	2081665249179372503	0 6 14 26 48 66 80 104 240 264 278 296 318 330 338 344	314688296826
STPT(10)	2081665255045193141	0 2 36 38 78 80 120 122 156 158	320554117464
SPT(16)	2081665499479864031	0 26 32 48 56 66 90 108 140 158 182 192 200 216 222 248	564988788354
SPT(16)	2081665733287347091	0 10 16 42 106 132 216 276 286 346 430 456 520 546 552 562	798796271414