Prime p₀= 2258590365561943727 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)	2258588187758212319	0 8 20 42 62 72 78 92 210 224 230 240 260 282 294 302	-2177803731408
STPT(10)	2258588240050594601	0 2 30 32 120 122 210 212 240 242	-2125511349126
STPT(10)	2258588698754518181	0 2 6 8 18 20 30 32 36 38	-1666807425546
SPT(16)	2258589173725686617	0 12 30 32 56 110 144 176 180 212 246 300 324 326 344 356	-1191836257110
SPT(16)	2258589375821477789	0 38 72 80 102 122 168 182 210 224 270 290 312 320 354 392	-989740465938
STPT(10)	2258589424310963801	0 2 36 38 78 80 120 122 156 158	-941250979926
TPT(14)	2258590443062128727	0 2 12 14 30 32 114 116 180 182 294 296 312 314	77500185000
SPT(16)	2258590580998353743	0 44 56 86 98 114 116 120 164 168 170 186 198 228 240 284	215436410016
STPT(10)	2258590832904545987	0 2 12 14 42 44 72 74 84 86	467342602260
SPT(16)	2258591015334104669	0 8 12 18 162 180 182 204 218 240 242 260 404 410 414 422	649772160942
SPT(16)	2258591216652590837	0 20 24 54 80 132 174 180 266 272 314 366 392 422 426 446	851090647110