Prime p₀= 2082598093762524389 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: Landjunge
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2082597269179030717	0 54 60 66 84 114 124 150 256 282 292 322 340 346 352 406	-824583493672
STPT(10)	2082597341949705569	0 2 18 20 30 32 42 44 60 62	-751812818820
SPT(16)	2082597372941665049	0 32 92 158 162 192 204 210 242 248 260 290 294 360 420 452	-720820859340
SPT(18)	2082597406684219979	0 8 38 60 108 110 138 158 204 224 270 290 318 320 368 390 420 428	-687078304410
SPT(16)	2082597905926162679	0 42 104 168 174 182 192 234 368 410 420 428 434 498 560 602	-187836361710
SPT(16)	2082597951041172233	0 14 18 96 104 120 144 158 246 260 284 300 308 386 390 404	-142721352156
STPT(12)	2082598195240512329	0 2 18 20 42 44 48 50 72 74 90 92	101477987940
SPT(16)	2082598354964751823	0 36 64 96 184 196 216 226 258 268 288 300 388 420 448 484	261202227434
SPT(16)	2082598923384943207	0 10 52 102 150 166 184 214 222 252 270 286 334 384 426 436	829622418818
STPT(10)	2082599339431779197	0 2 30 32 42 44 54 56 84 86	1245669254808
STPT(10)	2082599706150103937	0 2 30 32 42 44 54 56 84 86	1612387579548