Prime p₀= 2575999182748211177 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: [SG-FC] hl
db: batch=82, k=10, 2 10 2 28 2

SPT(18)	2575997841347709677	0 2 6 20 126 132 134 210 240 266 296 372 374 380 486 500 504 506	-1341400501500
STPT(10)	2575998040858735637	0 2 42 44 72 74 102 104 144 146	-1141889475540
STPT(10)	2575998296202074717	0 2 30 32 42 44 54 56 84 86	-886546136460
SPT(16)	2575998633151031233	0 18 36 88 138 144 150 208 426 484 490 496 546 598 616 634	-549597179944
SPT(16)	2575998791521508183	0 6 20 90 98 120 140 146 168 174 194 216 224 294 308 314	-391226702994
STPT(10)	2575999166685512831	0 2 6 8 48 50 90 92 96 98	-16062698346
SPT(16)	2575999916680555199	0 14 38 48 50 90 104 132 200 228 242 282 284 294 318 332	733932344022
SPT(16)	2576000211838193549	0 8 12 30 50 54 80 92 210 222 248 252 272 290 294 302	1029089982372
STPT(12)	2576000506559910767	0 2 42 44 72 74 162 164 192 194 234 236	1323811699590
STPT(10)	2576000728351249601	0 2 78 80 108 110 138 140 216 218	1545603038424
STPT(10)	2576001068746482701	0 2 36 38 78 80 120 122 156 158	1885998271524