Prime p₀= 2377786377127044641 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [AF>Le_Pommier] Jerome_C2005
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2377784493399493109	0 74 198 210 252 270 282 312 320 350 362 380 422 434 558 632	-1883727551532
STPT(10)	2377784702831774021	0 2 30 32 60 62 90 92 120 122	-1674295270620
SPT(16)	2377784706296342647	0 6 10 12 16 24 40 66 100 126 142 150 154 156 160 166	-1670830701994
SPT(16)	2377785432768243523	0 28 114 238 268 270 340 364 384 408 478 480 510 634 720 748	-944358801118
TPT(14)	2377785490677465989	0 2 42 44 180 182 222 224 282 284 288 290 378 380	-886449578652
SPT(16)	2377785559455909307	0 22 42 46 60 82 94 96 160 162 174 196 210 214 234 256	-817671135334
TPT(14)	2377786616011213997	0 2 72 74 102 104 174 176 204 206 324 326 342 344	238884169356
SPT(16)	2377786717171056491	0 60 72 98 108 132 188 200 240 252 308 332 342 368 380 440	340044011850
STPT(12)	2377786757221204529	0 2 30 32 90 92 168 170 228 230 258 260	380094159888
SPT(16)	2377786929309575131	0 22 90 106 132 150 160 252 256 348 358 376 402 418 486 508	552182530490
STPT(10)	2377787464625012351	0 2 6 8 18 20 30 32 36 38	1087497967710