Prime p₀= 2375244580002965579 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: ChUcK
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2375242689075477017	0 14 44 62 96 102 206 216 290 300 404 410 444 462 492 506	-1890927488562
STPT(10)	2375243181328723829	0 2 12 14 30 32 48 50 60 62	-1398674241750
SPT(16)	2375243317810303859	0 2 18 20 32 44 48 98 234 284 288 300 312 314 330 332	-1262192661720
SPT(16)	2375243678953887853	0 4 90 96 124 126 156 178 216 238 268 270 298 304 390 394	-901049077726
STPT(10)	2375243720524453349	0 2 18 20 30 32 42 44 60 62	-859478512230
SPT(16)	2375244111954354293	0 38 120 144 158 168 186 188 246 248 266 276 290 314 396 434	-468048611286
TPT(14)	2375244708809843357	0 2 60 62 90 92 102 104 180 182 240 242 264 266	128806877778
STPT(10)	2375245265510338841	0 2 6 8 48 50 90 92 96 98	685507373262
SPT(16)	2375246071612381157	0 32 42 84 86 152 182 194 312 324 354 420 422 464 474 506	1491609415578
SPT(16)	2375246498147973221	0 18 32 116 132 146 150 228 230 308 312 326 342 426 440 458	1918145007642
SPT(16)	2375246702037502273	0 4 10 30 70 84 96 114 220 238 250 264 304 324 330 334	2122034536694