Prime p₀= 2576021343477750167 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Penguin
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2576020032996137921	0 6 8 50 56 78 146 188 198 240 308 330 336 378 380 386	-1310481612246
SPT(16)	2576020249126027373	0 14 20 60 90 126 138 146 228 236 248 284 314 354 360 374	-1094351722794
SPT(16)	2576020335400905539	0 24 32 42 98 108 170 200 222 252 314 324 380 390 398 422	-1008076844628
SPT(16)	2576020712323622651	0 38 50 80 90 138 180 192 206 218 260 308 318 348 360 398	-631154127516
STPT(10)	2576021095994235467	0 2 30 32 42 44 54 56 84 86	-247483514700
SPT(16)	2576021200221345011	0 18 36 38 56 66 80 188 270 378 392 402 420 422 440 458	-143256405156
SPT(16)	2576021376625651807	0 4 52 72 102 160 196 220 276 300 336 394 424 444 492 496	33147901640
STPT(10)	2576021658680848907	0 2 42 44 72 74 102 104 144 146	315203098740
SPT(16)	2576021674664736071	0 20 26 42 60 102 120 126 152 158 176 218 236 252 258 278	331186985904
SPT(16)	2576021690141453017	0 10 46 60 76 94 102 150 256 304 312 330 346 360 396 406	346663702850
STPT(10)	2576022444600891887	0 2 12 14 42 44 72 74 84 86	1101123141720