Prime p₀= 1286495565851686649 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: Cruncher Pete
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1286494785143280463	0 28 66 108 136 150 226 238 438 450 526 540 568 610 648 676	-780708406186
TPT(14)	1286495008015905929	0 2 42 44 90 92 150 152 192 194 288 290 300 302	-557835780720
SPT(16)	1286495300341660429	0 10 28 52 88 130 160 174 238 252 282 324 360 384 402 412	-265510026220
STPT(10)	1286495334176952167	0 2 90 92 102 104 114 116 204 206	-231674734482
STPT(10)	1286495368096769417	0 2 30 32 72 74 114 116 144 146	-197754917232
STPT(10)	1286495384788686827	0 2 30 32 42 44 54 56 84 86	-181062999822
STPT(10)	1286495647898659577	0 2 30 32 42 44 54 56 84 86	82046972928
SPT(16)	1286495760800167823	0 6 14 78 98 120 138 164 180 206 224 246 266 330 338 344	194948481174
SPT(16)	1286495848576644569	0 14 78 84 114 224 230 290 348 408 414 524 554 560 624 638	282724957920
SPT(16)	1286495867086981883	0 14 96 120 134 140 204 230 294 320 384 390 404 428 510 524	301235295234
STPT(10)	1286495999028006491	0 2 6 8 48 50 90 92 96 98	433176319842