Prime p₀= 2142532302416712719 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Landjunge
db: batch=80, k=10, 2 40 2 16 2

SPT(16)	2142530783628940451	0 8 48 80 120 138 162 180 218 236 260 278 318 350 390 398	-1518787772268
SPT(16)	2142530901188401987	0 22 46 84 90 112 162 172 204 214 264 286 292 330 354 376	-1401228310732
SPT(16)	2142530977438060549	0 18 28 60 162 174 198 204 208 214 238 250 352 384 394 412	-1324978652170
STPT(10)	2142531242121616427	0 2 54 56 72 74 90 92 144 146	-1060295096292
STPT(10)	2142531256360120139	0 2 42 44 90 92 138 140 180 182	-1046056592580
STPT(10)	2142531923935212767	0 2 60 62 72 74 84 86 144 146	-378481499952
SPT(16)	2142532387695655607	0 26 114 194 240 260 282 296 330 344 366 386 432 512 600 626	85278942888
STPT(10)	2142532416204198017	0 2 24 26 42 44 60 62 84 86	113787485298
STPT(12)	2142532466351108561	0 2 78 80 90 92 156 158 168 170 246 248	163934395842
TPT(14)	2142532809006761879	0 2 30 32 138 140 222 224 288 290 318 320 360 362	506590049160
SPT(16)	2142533120647520009	0 48 104 128 132 140 170 180 212 222 252 260 264 288 344 392	818230807290