Prime p₀= 2566529954938728197 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: JayPi
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2566528569207405307	0 84 120 130 186 220 304 324 352 372 456 490 546 556 592 676	-1385731322890
SPT(16)	2566528653190840631	0 2 30 42 60 62 72 90 122 140 150 152 170 182 210 212	-1301747887566
SPT(16)	2566528669007587639	0 12 34 40 42 90 112 150 154 192 214 262 264 270 292 304	-1285931140558
SPT(16)	2566528681815960889	0 34 42 70 82 118 144 180 202 238 264 300 312 340 348 382	-1273122767308
STPT(10)	2566528874685285467	0 2 24 26 42 44 60 62 84 86	-1080253442730
SPT(16)	2566529309031024913	0 60 94 114 130 160 174 244 270 340 354 384 400 420 454 514	-645907703284
TPT(14)	2566530261428379227	0 2 90 92 102 104 120 122 144 146 174 176 210 212	306489651030
SPT(13)	2566530263948661709	0 18 138 150 168 180 210 240 252 270 282 402 420	309009933512
STPT(10)	2566530904427288969	0 2 18 20 30 32 42 44 60 62	949488560772
SPT(16)	2566531192829317829	0 42 44 84 98 122 140 164 198 222 240 264 278 318 320 362	1237890589632
SPT(16)	2566531521435313127	0 12 56 62 66 72 90 164 222 296 314 320 324 330 374 386	1566496584930