Prime p₀= 2082396610767566057 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: Landjunge
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2082394988597533499	0 8 24 38 60 102 138 140 162 164 200 242 264 278 294 302	-1622170032558
STPT(10)	2082395273595787679	0 2 42 44 90 92 138 140 180 182	-1337171778378
SPT(16)	2082395907472688419	0 22 42 54 58 72 78 82 150 154 160 174 178 190 210 232	-703294877638
SPT(16)	2082396058632098467	0 42 102 126 142 192 196 216 220 240 244 294 310 334 394 436	-552135467590
SPT(16)	2082396310900740353	0 26 30 44 56 74 78 96 98 116 120 138 150 164 168 194	-299866825704
SPT(16)	2082396609385128217	0 12 34 52 84 112 154 180 214 240 282 310 342 360 382 394	-1382437840
STPT(10)	2082397398897400139	0 2 42 44 60 62 78 80 120 122	788129834082
SPT(16)	2082397427696388791	0 80 108 156 158 162 240 270 308 338 416 420 422 470 498 578	816928822734
STPT(10)	2082397472131181207	0 2 30 32 60 62 90 92 120 122	861363615150
SPT(16)	2082397540118504023	0 30 136 156 220 280 310 328 396 414 444 504 568 588 694 724	929350937966
SPT(16)	2082397739603704907	0 20 26 30 62 66 146 152 294 300 380 384 416 420 426 446	1128836138850