Prime p₀= 2124507903940274777 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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 10 2 28 2

SPT(16)	2124506541097538069	0 30 38 44 54 108 114 138 140 164 170 224 234 240 248 278	-1362842736708
STPT(10)	2124507107983427267	0 2 90 92 102 104 114 116 204 206	-795956847510
SPT(16)	2124507133122678389	0 12 38 50 78 138 152 164 198 210 224 284 312 324 350 362	-770817596388
STPT(10)	2124507413219273387	0 2 30 32 42 44 54 56 84 86	-490721001390
SPT(16)	2124507702331804871	0 42 72 78 86 110 146 152 156 162 198 222 230 236 266 308	-201608469906
SPT(16)	2124507781591073159	0 8 68 78 98 150 158 164 198 204 212 264 284 294 354 362	-122349201618
STPT(10)	2124508446609263591	0 2 30 32 60 62 90 92 120 122	542668988814
SPT(16)	2124508456507760221	0 66 70 78 100 108 120 148 198 226 238 246 268 276 280 346	552567485444
STPT(10)	2124508580077489391	0 2 36 38 78 80 120 122 156 158	676137214614
STPT(10)	2124509003113299599	0 2 18 20 30 32 42 44 60 62	1099173024822
SPT(16)	2124509949217853543	0 14 20 110 140 146 168 198 206 236 258 264 294 384 390 404	2045277578766