Prime p₀= 2114357327325504617 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: ChUcK
db: batch=80, k=10, 2 40 2 28 2

SPT(16)	2114356267017619853	0 20 48 90 120 144 174 200 228 254 284 308 338 380 408 428	-1060307884764
STPT(10)	2114356371462218699	0 2 12 14 90 92 168 170 180 182	-955863285918
SPT(16)	2114356710790359557	0 30 110 144 224 266 296 300 350 354 384 426 506 540 620 650	-616535145060
SPT(16)	2114356884337126019	0 2 42 84 108 164 170 248 264 342 348 404 428 470 510 512	-442988378598
SPT(16)	2114357047789189991	0 2 6 12 20 42 60 72 116 128 146 168 176 182 186 188	-279536314626
SPT(16)	2114357093156881459	0 34 52 82 120 124 172 204 220 252 300 304 342 372 390 424	-234168623158
STPT(10)	2114358730560494837	0 2 12 14 42 44 72 74 84 86	1403234990220
STPT(10)	2114358997378319357	0 2 12 14 42 44 72 74 84 86	1670052814740
STPT(10)	2114359170874754561	0 2 6 8 18 20 30 32 36 38	1843549249944
SPT(16)	2114359490123375659	0 22 40 52 90 160 178 202 240 264 282 352 390 402 420 442	2162797871042
TPT(14)	2114359591713634961	0 2 36 38 66 68 78 80 180 182 306 308 348 350	2264388130344