Prime p₀= 2109170655609457499 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Landjunge
db: batch=80, k=10, 2 10 2 76 2

STPT(10)	2109167862128256887	0 2 12 14 42 44 72 74 84 86	-2793481200612
SPT(16)	2109167941777358591	0 78 108 128 138 150 182 192 266 276 308 320 330 350 380 458	-2713832098908
SPT(16)	2109168219711231641	0 2 8 18 32 50 98 110 120 132 180 198 212 222 228 230	-2435898225858
SPT(16)	2109168404213746583	0 14 26 50 56 108 138 158 186 206 236 288 294 318 330 344	-2251395710916
SPT(16)	2109169522565429707	0 10 12 82 130 166 186 190 192 196 216 252 300 370 372 382	-1133044027792
SPT(16)	2109170587259121259	0 34 40 52 90 132 144 174 220 250 262 304 342 354 360 394	-68350336240
STPT(10)	2109170744906674619	0 2 42 44 60 62 78 80 120 122	89297217120
STPT(12)	2109171227932982429	0 2 60 62 72 74 138 140 150 152 210 212	572323524930
SPT(16)	2109171456545047369	0 94 100 154 192 198 208 238 264 294 304 310 348 402 408 502	800935589870
SPT(16)	2109171555893323447	0 40 42 60 94 102 120 130 144 154 172 180 214 232 234 274	900283865948
STPT(10)	2109172281813201557	0 2 30 32 42 44 54 56 84 86	1626203744058