Prime p₀= 2858256803875630457 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: Landjunge
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2858254784528222503	0 28 34 54 88 90 124 138 190 204 238 240 274 294 300 328	-2019347407954
SPT(16)	2858255199458616653	0 36 48 54 56 98 170 216 218 264 336 378 380 386 398 434	-1604417013804
TPT(14)	2858255279877068129	0 2 42 44 60 62 78 80 90 92 132 134 210 212	-1523998562328
STPT(10)	2858255383912797467	0 2 30 32 42 44 54 56 84 86	-1419962832990
STPT(10)	2858255682912969971	0 2 30 32 78 80 126 128 156 158	-1120962660486
SPT(16)	2858255949131434403	0 26 56 68 84 128 138 170 234 266 276 320 336 348 378 404	-854744196054
SPT(16)	2858257012319366899	0 54 70 72 82 90 132 154 180 202 244 252 262 264 280 334	208443736442
STPT(10)	2858257095649904327	0 2 30 32 42 44 54 56 84 86	291774273870
TPT(16)	2858257262661928427	0 2 42 44 54 56 84 86 144 146 222 224 240 242 282 284	458786297970
STPT(10)	2858257438780857257	0 2 42 44 72 74 102 104 144 146	634905226800
STPT(10)	2858257689571018349	0 2 18 20 30 32 42 44 60 62	885695387892