Prime p₀= 1025626186902832787 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: Theadalus
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	1025624809393610227	0 46 70 96 130 142 154 214 222 282 294 306 340 366 390 436	-1377509222560
SPT(16)	1025624814234372857	0 32 86 116 120 140 176 182 264 270 306 326 330 360 414 446	-1372668459930
SPT(16)	1025625067511560759	0 34 40 102 144 202 210 244 258 292 300 358 400 462 468 502	-1119391272028
TPT(14)	1025625863033604029	0 2 30 32 72 74 108 110 138 140 150 152 162 164	-323869228758
STPT(10)	1025625908536012739	0 2 42 44 90 92 138 140 180 182	-278366820048
SPT(16)	1025626121656969579	0 48 88 108 132 160 162 178 204 220 222 250 274 294 334 382	-65245863208
SPT(16)	1025626254140118431	0 42 48 56 168 170 182 236 282 336 348 350 462 470 476 518	67237285644
SPT(16)	1025626552903249181	0 30 48 78 86 96 98 108 110 120 122 132 140 170 188 218	366000416394
SPT(16)	1025626691231832593	0 8 30 36 50 54 74 96 98 120 140 144 158 164 186 194	504328999806
STPT(10)	1025626825713095729	0 2 12 14 30 32 48 50 60 62	638810262942
STPT(10)	1025626843304531717	0 2 30 32 42 44 54 56 84 86	656401698930