Prime p₀= 1016586167395830527 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: Theadalus
db: batch=76, k=10, 2 10 2 28 2

SPT(16)	1016585252605948387	0 36 40 46 126 150 190 192 250 252 292 316 396 402 406 442	-914789882140
SPT(16)	1016585429447124473	0 30 66 80 150 170 198 216 248 266 294 314 384 398 434 464	-737948706054
SPT(16)	1016585503941258941	0 2 8 18 42 86 110 138 200 228 252 296 320 330 336 338	-663454571586
SPT(16)	1016585685032429543	0 6 14 20 48 50 78 126 128 176 204 206 234 240 248 254	-482363400984
STPT(10)	1016585701741671119	0 2 42 44 60 62 78 80 120 122	-465654159408
TPT(14)	1016585889660548237	0 2 42 44 120 122 162 164 240 242 312 314 354 356	-277735282290
STPT(10)	1016586338470398767	0 2 30 32 42 44 54 56 84 86	171074568240
SPT(16)	1016586420929264389	0 12 52 54 72 78 94 112 150 168 184 190 208 210 250 262	253533433862
STPT(10)	1016586527496246167	0 2 24 26 42 44 60 62 84 86	360100415640
SPT(16)	1016586581285460707	0 32 42 74 86 126 144 146 240 242 260 300 312 344 354 386	413889630180
SPT(16)	1016586723470159147	0 12 20 26 56 62 66 120 152 206 210 216 246 252 260 272	556074328620