Prime p₀= 2258590832904545987 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=81, k=10, 2 10 2 28 2

SPT(16)	2258589173725686617	0 12 30 32 56 110 144 176 180 212 246 300 324 326 344 356	-1659178859370
SPT(16)	2258589375821477789	0 38 72 80 102 122 168 182 210 224 270 290 312 320 354 392	-1457083068198
STPT(10)	2258589424310963801	0 2 36 38 78 80 120 122 156 158	-1408593582186
STPT(10)	2258590365561943727	0 2 12 14 42 44 72 74 84 86	-467342602260
TPT(14)	2258590443062128727	0 2 12 14 30 32 114 116 180 182 294 296 312 314	-389842417260
SPT(16)	2258590580998353743	0 44 56 86 98 114 116 120 164 168 170 186 198 228 240 284	-251906192244
SPT(16)	2258591015334104669	0 8 12 18 162 180 182 204 218 240 242 260 404 410 414 422	182429558682
SPT(16)	2258591216652590837	0 20 24 54 80 132 174 180 266 272 314 366 392 422 426 446	383748044850
STPT(10)	2258591243909623289	0 2 18 20 30 32 42 44 60 62	411005077302
STPT(10)	2258591326590910637	0 2 60 62 72 74 84 86 144 146	493686364650
SPT(16)	2258591401953783473	0 26 38 48 56 96 108 146 258 296 308 348 356 366 378 404	569049237486