Prime p₀= 2082116180853595217 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 40 2 40 2 58 2 (?)
a_n: 0 2 60 62 102 104 144 146 204 206
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: 206
Found by: Landjunge
db: batch=80, k=10, 2 58 2 40 2

SPT(16)	2082114452863008667	0 10 24 42 54 70 82 94 162 174 186 202 214 232 246 256	-1727990586550
SPT(16)	2082114779764490833	0 36 64 120 124 168 174 208 216 250 256 300 304 360 388 424	-1401089104384
SPT(16)	2082114926227491971	0 12 26 62 90 128 188 210 308 330 390 428 456 492 506 518	-1254626103246
STPT(10)	2082115555315290797	0 2 30 32 42 44 54 56 84 86	-625538304420
SPT(16)	2082115600104605699	0 32 78 140 204 258 284 350 372 438 464 518 582 644 690 722	-580748989518
SPT(16)	2082116106190979219	0 30 132 210 212 252 258 264 338 344 350 390 392 470 572 602	-74662615998
SPT(16)	2082116424872763259	0 18 22 24 54 88 112 114 178 180 204 238 268 270 274 292	244019168042
SPT(16)	2082116458499581327	0 4 22 136 150 162 172 186 220 234 244 256 270 384 402 406	277645986110
STPT(10)	2082116718321381941	0 2 36 38 108 110 180 182 216 218	537467786724
SPT(16)	2082117381137471309	0 42 48 74 102 108 128 132 140 144 164 170 198 224 230 272	1200283876092
SPT(16)	2082117452787960031	0 16 36 82 138 156 166 168 190 192 202 220 276 322 342 358	1271934364814