Prime p₀= 2582659981474470809 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: [SG-FC] hl
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2582659337370089977	0 16 46 72 90 112 174 214 252 292 354 376 394 420 450 466	-644104380832
STPT(10)	2582659623229473701	0 2 18 20 198 200 378 380 396 398	-358244997108
SPT(16)	2582659710108835529	0 2 18 42 60 68 78 110 120 152 162 170 188 212 228 230	-271365635280
SPT(16)	2582659753724280277	0 10 24 34 42 76 112 126 130 144 180 214 222 232 246 256	-227750190532
STPT(10)	2582659846294692257	0 2 30 32 60 62 90 92 120 122	-135179778552
STPT(10)	2582659958122359959	0 2 18 20 30 32 42 44 60 62	-23352110850
SPT(16)	2582660180332763863	0 10 16 36 90 118 120 124 150 154 156 184 238 258 264 274	198858293054
STPT(10)	2582660227710110237	0 2 30 32 42 44 54 56 84 86	246235639428
SPT(20)	2582660374550816983	0 48 70 108 118 124 184 264 268 274 294 300 304 384 444 450 460 498 520 568	393076346174
STPT(12)	2582660675870448989	0 2 12 14 30 32 72 74 90 92 102 104	694395978180
SPT(16)	2582661210381550373	0 96 140 174 188 194 216 218 306 308 330 336 350 384 428 524	1228907079564