Prime p₀= 2456408687260013609 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: JayPi
db: batch=82, k=10, 2 10 2 16 2

SPT(16)	2456407691574268759	0 10 12 42 54 82 84 94 120 130 132 160 172 202 204 214	-995685744850
SPT(16)	2456407737870061687	0 6 34 54 162 180 232 244 252 264 316 334 442 462 490 496	-949389951922
SPT(16)	2456407962345732427	0 6 22 42 70 120 142 154 162 174 196 246 274 294 310 316	-724914281182
SPT(16)	2456408577874799113	0 46 60 70 90 114 130 150 244 264 280 304 324 334 348 394	-109385214496
SPT(16)	2456408579279486453	0 44 68 116 144 164 188 198 266 276 300 320 348 396 420 464	-107980527156
SPT(13)	2456408583257623417	0 12 24 42 54 90 192 294 330 342 360 372 384	-104002390192
STPT(10)	2456408734898418257	0 2 24 26 42 44 60 62 84 86	47638404648
SPT(16)	2456408925777743983	0 18 76 78 88 90 106 120 124 138 154 156 166 168 226 244	238517730374
SPT(16)	2456409098576142277	0 10 72 106 156 162 166 184 192 210 214 220 270 304 366 376	411316128668
SPT(16)	2456409547959635629	0 18 22 28 34 54 78 138 154 214 238 258 264 270 274 292	860699622020
STPT(10)	2456409852029623337	0 2 12 14 42 44 72 74 84 86	1164769609728