Prime p₀= 852566065224206087 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: arkiss
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	852565083613236689	0 2 42 68 72 80 92 134 168 210 222 230 234 260 300 302	-981610969398
STPT(10)	852565275837818819	0 2 48 50 90 92 132 134 180 182	-789386387268
SPT(16)	852565362653911591	0 42 72 130 180 198 208 226 282 300 310 328 378 436 466 508	-702570294496
TPT(14)	852565532405693387	0 2 24 26 54 56 72 74 114 116 150 152 240 242	-532818512700
STPT(10)	852565743242297177	0 2 30 32 60 62 90 92 120 122	-321981908910
SPT(16)	852565922896381313	0 20 68 90 158 168 170 198 200 228 230 240 308 330 378 398	-142327824774
STPT(10)	852566089152807941	0 2 6 8 18 20 30 32 36 38	23928601854
SPT(16)	852566113857316861	0 46 72 78 106 112 120 148 150 178 186 192 220 226 252 298	48633110774
TPT(14)	852566326749398489	0 2 72 74 90 92 180 182 252 254 270 272 282 284	261525192402
SPT(16)	852566486295347801	0 6 50 66 68 116 132 138 230 236 252 300 302 318 362 368	421071141714
SPT(16)	852566493946474787	0 44 54 60 86 152 240 252 254 266 354 420 446 452 462 506	428722268700