Prime p₀= 2456408734898418257 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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=82, k=10, 2 22 2 16 2

SPT(16)	2456407737870061687	0 6 34 54 162 180 232 244 252 264 316 334 442 462 490 496	-997028356570
SPT(16)	2456407962345732427	0 6 22 42 70 120 142 154 162 174 196 246 274 294 310 316	-772552685830
SPT(16)	2456408577874799113	0 46 60 70 90 114 130 150 244 264 280 304 324 334 348 394	-157023619144
SPT(16)	2456408579279486453	0 44 68 116 144 164 188 198 266 276 300 320 348 396 420 464	-155618931804
SPT(13)	2456408583257623417	0 12 24 42 54 90 192 294 330 342 360 372 384	-151640794840
STPT(10)	2456408687260013609	0 2 12 14 30 32 48 50 60 62	-47638404648
SPT(16)	2456408925777743983	0 18 76 78 88 90 106 120 124 138 154 156 166 168 226 244	190879325726
SPT(16)	2456409098576142277	0 10 72 106 156 162 166 184 192 210 214 220 270 304 366 376	363677724020
SPT(16)	2456409547959635629	0 18 22 28 34 54 78 138 154 214 238 258 264 270 274 292	813061217372
STPT(10)	2456409852029623337	0 2 12 14 42 44 72 74 84 86	1117131205080
SPT(16)	2456409859125076163	0 24 30 80 108 134 158 168 200 210 234 260 288 338 344 368	1124226657906