Prime p₀= 2315757292019985629 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=81, k=10, 2 10 2 76 2

STPT(10)	2315756303691373679	0 2 12 14 90 92 168 170 180 182	-988328611950
SPT(16)	2315756820756174121	0 100 102 118 126 130 160 172 186 198 228 232 240 256 258 358	-471263811508
STPT(10)	2315756867233916471	0 2 30 32 78 80 126 128 156 158	-424786069158
SPT(16)	2315756929502914201	0 12 28 36 42 90 106 150 178 222 238 286 292 300 316 328	-362517071428
SPT(18)	2315757035763468127	0 36 90 106 112 154 210 244 276 340 372 406 462 504 510 526 580 616	-256256517502
STPT(10)	2315757049437339197	0 2 30 32 42 44 54 56 84 86	-242582646432
SPT(16)	2315757785071375993	0 10 18 36 40 46 60 76 138 154 168 174 178 196 204 214	493051390364
STPT(10)	2315757926713976621	0 2 30 32 60 62 90 92 120 122	634693990992
TPT(14)	2315757943631094581	0 2 48 50 150 152 216 218 306 308 378 380 420 422	651611108952
SPT(16)	2315758172647200439	0 82 138 160 228 240 250 270 322 342 352 364 432 454 510 592	880627214810
STPT(10)	2315758246530225797	0 2 24 26 42 44 60 62 84 86	954510240168