Prime p₀= 2327464993394222597 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: Orange Kid
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2327463853235276411	0 32 42 56 66 80 110 116 132 138 168 182 192 206 216 248	-1140158946186
STPT(12)	2327464139125528811	0 2 36 38 48 50 78 80 90 92 126 128	-854268693786
STPT(10)	2327464187465115701	0 2 30 32 60 62 90 92 120 122	-805929106896
STPT(10)	2327464406497518329	0 2 18 20 30 32 42 44 60 62	-586896704268
SPT(16)	2327464479156598933	0 28 34 40 46 76 88 210 214 336 348 378 384 390 396 424	-514237623664
SPT(16)	2327464806764598133	0 6 34 64 96 120 154 168 196 210 244 268 300 330 358 364	-186629624464
SPT(16)	2327465036554118753	0 18 48 50 54 78 110 158 246 294 326 350 354 356 386 404	43159896156
STPT(10)	2327465124351854099	0 2 18 20 30 32 42 44 60 62	130957631502
STPT(10)	2327465277028719197	0 2 30 32 42 44 54 56 84 86	283634496600
SPT(16)	2327465483427785923	0 10 34 88 150 216 234 258 316 340 358 424 486 540 564 574	490033563326
SPT(16)	2327465558256663079	0 10 12 28 48 72 112 114 118 120 160 184 204 220 222 232	564862440482