Prime p₀= 2124509003113299599 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Landjunge
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2124507702331804871	0 42 72 78 86 110 146 152 156 162 198 222 230 236 266 308	-1300781494728
SPT(16)	2124507781591073159	0 8 68 78 98 150 158 164 198 204 212 264 284 294 354 362	-1221522226440
STPT(10)	2124507903940274777	0 2 12 14 42 44 72 74 84 86	-1099173024822
STPT(10)	2124508446609263591	0 2 30 32 60 62 90 92 120 122	-556504036008
SPT(16)	2124508456507760221	0 66 70 78 100 108 120 148 198 226 238 246 268 276 280 346	-546605539378
STPT(10)	2124508580077489391	0 2 36 38 78 80 120 122 156 158	-423035810208
SPT(16)	2124509949217853543	0 14 20 110 140 146 168 198 206 236 258 264 294 384 390 404	946104553944
STPT(10)	2124510397536264347	0 2 30 32 42 44 54 56 84 86	1394422964748
SPT(16)	2124510764663297837	0 26 54 72 116 206 210 212 264 266 270 360 404 422 450 476	1761549998238
STPT(10)	2124510948731368529	0 2 48 50 90 92 132 134 180 182	1945618068930
STPT(10)	2124511000283056727	0 2 24 26 42 44 60 62 84 86	1997169757128