Prime p₀= 2560006323443435327 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: Roadranner
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2560005005925579419	0 12 30 54 60 74 104 140 174 210 240 254 260 284 302 314	-1317517855908
STPT(10)	2560005269882709599	0 2 18 20 30 32 42 44 60 62	-1053560725728
STPT(12)	2560005449236593887	0 2 12 14 42 44 60 62 90 92 102 104	-874206841440
SPT(16)	2560005501782893379	0 8 24 50 54 68 92 98 174 180 204 218 222 248 264 272	-821660541948
SPT(16)	2560005554956798651	0 30 42 52 66 72 118 132 136 150 196 202 216 226 238 268	-768486636676
STPT(10)	2560006033832009207	0 2 30 32 42 44 54 56 84 86	-289611426120
SPT(16)	2560006537275689731	0 10 40 108 250 270 316 336 340 360 406 426 568 636 666 676	213832254404
SPT(16)	2560006693650823969	0 28 52 54 60 88 94 114 238 258 264 292 298 300 324 352	370207388642
STPT(10)	2560007160736128539	0 2 42 44 60 62 78 80 120 122	837292693212
SPT(16)	2560007415192968441	0 2 8 38 110 120 138 140 180 182 200 210 282 312 318 320	1091749533114
STPT(10)	2560007427652355267	0 2 30 32 72 74 114 116 144 146	1104208919940