Prime p₀= 1253024645806822151 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: Megacruncher
db: batch=77, k=10, 2 4 2 40 2

SPT(16)	1253023004049665869	0 4 52 82 88 94 114 118 234 238 258 264 270 300 348 352	-1641757156282
SPT(16)	1253023042522801139	0 72 84 102 122 168 182 218 234 270 284 330 350 368 380 452	-1603284021012
SPT(16)	1253023104648851603	0 6 8 14 48 68 78 140 174 236 246 266 300 306 308 314	-1541157970548
SPT(16)	1253023250094334801	0 10 36 70 96 166 186 190 276 280 300 370 396 430 456 466	-1395712487350
STPT(10)	1253023303111332407	0 2 54 56 72 74 90 92 144 146	-1342695489744
STPT(10)	1253024346142344077	0 2 30 32 42 44 54 56 84 86	-299664478074
SPT(16)	1253024665376417861	0 20 32 48 56 78 92 120 158 186 200 222 230 246 258 278	19569595710
SPT(16)	1253024866124920457	0 44 60 72 74 140 144 150 164 170 174 240 242 254 270 314	220318098306
STPT(10)	1253025163762927019	0 2 48 50 90 92 132 134 180 182	517956104868
STPT(10)	1253025234057390791	0 2 6 8 48 50 90 92 96 98	588250568640
STPT(10)	1253025275858446169	0 2 48 50 60 62 72 74 120 122	630051624018